@vit.ac.in

Professor(Higher Academic Grade)

Vellore Institute of Technology (VIT)

PHD (Mathematics) 1995, UNIVERSITY OF MADRAS Madras Christian College: Chennai, 600059; TN, INDIA

M.Phil (Mathematics) 1990 UNIVERSITY OF MADRAS Madras Christian College(Autonomous): Chennai, 600059; TN, INDIA

M.Sc (Mathematics)-1989 UNIVERSITY OF MADRAS Loyola College(Autonomous): Chennai, 600034 TN, INDIA

B.Sc (Mathematics)-1987 UNIVERSITY OF MADRAS Sacred Heart College: Tirupattur, TN, INDIA

Complex Analysis-Geometric Function Theory

225

Scopus Publications

3852

Scholar Citations

31

Scholar h-index

96

Scholar i10-index

- Applications of Mittag–Leffler Functions on a Subclass of Meromorphic Functions Influenced by the Definition of a Non-Newtonian Derivative

Daniel Breaz, Kadhavoor R. Karthikeyan, and Gangadharan Murugusundaramoorthy

MDPI AG

In this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative. Replacing the ordinary derivative with a multiplicative derivative in the subclass of starlike meromorphic functions made the class redundant; thus, major deviation or adaptation was required in defining a class of meromorphic functions influenced by the multiplicative derivative. In addition, we redefined the subclass of meromorphic functions analogous to the class of the functions with respect to symmetric points. Initial coefficient estimates and Fekete–Szegö inequalities were obtained for the defined function classes. Some examples along with graphs have been used to establish the inclusion and closure properties. - Applications of Caputo-Type Fractional Derivatives for Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation

Kholood M. Alsager, Gangadharan Murugusundaramoorthy, Adriana Catas, and Sheza M. El-Deeb

MDPI AG

In this article, for the first time by using Caputo-type fractional derivatives, we introduce three new subclasses of bi-univalent functions associated with bounded boundary rotation in an open unit disk to obtain non-sharp estimates of the first two Taylor–Maclaurin coefficients, |a2| and |a3|. Furthermore, the famous Fekete–Szegö inequality is obtained for the newly defined subclasses of bi-univalent functions. Several consequences of our results are pointed out which are new and not yet discussed in association with bounded boundary rotation. Some improved results when compared with those already available in the literature are also stated as corollaries. - Subclasses of Bi-Univalent Functions Connected with Caputo-Type Fractional Derivatives Based upon Lucas Polynomial

Kholood M. Alsager, Gangadharan Murugusundaramoorthy, Daniel Breaz, and Sheza M. El-Deeb

MDPI AG

In the current paper, we introduce new subclasses of analytic and bi-univalent functions involving Caputo-type fractional derivatives subordinating to the Lucas polynomial. Furthermore, we find non-sharp estimates on the first two Taylor–Maclaurin coefficients a2 and a3 for functions in these subclasses. Using the values of a2 and a3, we determined Fekete–Szegő inequality for functions in these subclasses. Moreover, we pointed out some more subclasses by fixing the parameters involved in Lucas polynomial and stated the estimates and Fekete–Szegő inequality results without proof. - Coefficient Functionals of Sakaguchi-Type Starlike Functions Involving Caputo-Type Fractional Derivatives Subordinated to the Three-Leaf Function

Kholood M. Alsager, Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, and Daniel Breaz

MDPI AG

A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor–Maclaurin series of univalent functions. Using Caputo-type fractional derivatives to define the families of Sakaguchi-type starlike functions with respect to symmetric points, this article aims to investigate the first three initial coefficient estimates, the bounds for various problems such as Fekete–Szegő inequality, and the Zalcman inequalities, by subordinating to the function of the three leaves domain. Fekete–Szegő-type inequalities and initial coefficients for functions of the form H−1 and ζH(ζ) and 12logHζζ connected to the three leaves functions are also discussed. - Ozaki-Type Bi-Close-to-Convex and Bi-Concave Functions Involving a Modified Caputo’s Fractional Operator Linked with a Three-Leaf Function

Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Daniel Breaz, Georgia Irina Oros, and Sheza M. El-Deeb

MDPI AG

The focus of the present work is on the establishment and investigation of the coefficient estimates of two new subclasses of bi-close-to-convex functions and bi-concave functions; these are of an Ozaki type and involve a modified Caputo’s fractional operator that is associated with three-leaf functions in the open unit disc. The classes are defined using the notion of subordination based on the previously established fractional integral operators and classes of starlike functions associated with a three-leaf function. For functions in these classes, the Fekete-Szegö inequalities and the initial coefficients, |a2| and |a3|, are discussed. Several new implications of the findings are also highlighted as corollaries. - Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain

Gangadharan Murugusundaramoorthy, Hatun Özlem Güney, and Daniel Breaz

MDPI AG

In this paper, considering the various important applications of Miller–Ross functions in the fields of applied sciences, we introduced a new class of analytic functions f, utilizing the concept of Miller–Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of f, coefficient inequalities for f−1 and the Fekete–Szegö problem. We also covered some key geometric properties for functions f in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings. - Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus

Kadhavoor R. Karthikeyan and Gangadharan Murugusundaramoorthy

MDPI AG

Motivated by the notion of multiplicative calculus, more precisely multiplicative derivatives, we used the concept of subordination to create a new class of starlike functions. Because we attempted to operate within the existing framework of the design of analytic functions, a number of restrictions, which are in fact strong constraints, have been placed. We redefined our new class of functions using the three-parameter Mittag–Leffler function (Srivastava–Tomovski generalization of the Mittag–Leffler function), in order to increase the study’s adaptability. Coefficient estimates and their Fekete-Szegő inequalities are our main results. We have included a couple of examples to show the closure and inclusion properties of our defined class. Further, interesting bounds of logarithmic coefficients and their corresponding Fekete–Szegő functionals have also been obtained. - A class of ϑ -bi-pseudo-starlike functions with respect to symmetric points associated with Telephone numbers

G. Murugusundaramoorthy, N. E. Cho, and K. Vijaya

Springer Science and Business Media LLC - Bi-univalent functions subordinated to a three leaf function induced by multiplicative calculus

G. Murugusundaramoorthy, K. Vijaya, K. R. Karthikeyan, Sheza M. El-Deeb, and Jong-Suk Ro

American Institute of Mathematical Sciences (AIMS)

<p>Our aim was to develop a new class of bi starlike functions by utilizing the concept of subordination, driven by the idea of multiplicative calculus, specifically multiplicative derivatives. Several restrictions were imposed, which were indeed strict constraints, because we have tried to work within the current framework or the design of analytic functions. To make the study more versatile, we redefined our new class of function with Miller-Ross Poisson distribution (MRPD), in order to increase the study's adaptability. We derived the first coefficient estimates and Fekete-Szegő inequalities for functions in this new class. To demonstrate the characteristics, we have provided a few examples.</p> - CLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE (p, q)–DERIVATIVE OPERATOR FOR GENERALIZED DISTRIBUTION SATISFYING SUBORDINATE CONDITION

- Coefficient bounds for certain families of bi-Bazilevič and bi-Ozaki-close-to-convex functions

Muajebah Hidan, Abbas Kareem Wanas, Faiz Chaseb Khudher, Gangadharan Murugusundaramoorthy, and Mohamed Abdalla

American Institute of Mathematical Sciences (AIMS)

<abstract><p>The aim of this work is to introduce two families, $ \\mathcal{B}_{\\Sigma}(\\wp; \\vartheta) $ and $ \\mathcal{O}_{\\Sigma}(\\varkappa; \\vartheta) $, of holomorphic and bi-univalent functions involving the Bazilevič functions and the Ozaki-close-to-convex functions, by using generalized telephone numbers. We determinate upper bounds on the Fekete-Szegö type inequalities and the initial Taylor-Maclaurin coefficients for functions in these families. We also highlight certain edge cases and implications for our findings.</p></abstract> - On λ-pseudo bi-starlike functions related with Fibonacci numbers

Kaliyappan Vijaya, Gangadharan Murugusundaramoorthy, and Hatun Özlem Güney

Centre pour la Communication Scientifique Directe (CCSD)

In this paper we define a new subclass $\\lambda$-bi-pseudo-starlike functions of $\\Sigma$ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for $f\\in\\mathcal{PSL}_{\\Sigma}^\\lambda(\\tilde{p}(z)).$ Further we determine the Fekete-Szeg\\"{o} result for the function class $\\mathcal{PSL}_{\\Sigma}^\\lambda(\\tilde{p}(z))$ and for special cases, corollaries are stated which some of them are new and have not been studied so far. - Binomial Series-Confluent Hypergeometric Distribution and Its Applications on Subclasses of Multivalent Functions

Ibtisam Aldawish, Sheza M. El-Deeb, and Gangadharan Murugusundaramoorthy

MDPI AG

Over the past ten years, analytical functions’ reputation in the literature and their application have grown. We study some practical issues pertaining to multivalent functions with bounded boundary rotation that associate with the combination of confluent hypergeometric functions and binomial series in this research. A novel subset of multivalent functions is established through the use of convolution products and specific inclusion properties are examined through the application of second order differential inequalities in the complex plane. Furthermore, for multivalent functions, we examined inclusion findings using Bernardi integral operators. Moreover, we will demonstrate how the class proposed in this study, in conjunction with the acquired results, generalizes other well-known (or recently discovered) works that are called out as exceptions in the literature. - Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Daniel Breaz, and Luminiţa-Ioana Cotîrlǎ

MDPI AG

In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects such as coefficient bounds, convolution conservation, and convexity constraints. Next, using sufficiency criteria, we calculate the sharp bounds of the real parts of the ratios of harmonic functions to their sequences of partial sums. In addition, for the first time some of the interesting implications of the q-Srivastava–Attiya operator in harmonic functions are also included. - Φ–LIKE ANALYTIC FUNCTIONS ASSOCIATED WITH A VERTICAL DOMAIN

Serkan Araci, K. R. Karthikeyan, G. Murugusundaramoorthy, and Bilal Khan

Element d.o.o. - Initial Coefficients and Fekete-Szego Inequalities for Functions Related to van der Pol Numbers (VPN)

Gangadharan Murugusundaramoorthy and Teodor Bulboacă

Walter de Gruyter GmbH

ABSTRACT The purpose of this paper is to find coefficient estimates for the class of functions ℳ N ( γ , ϑ , λ ) consisting of analytic functions f normalized by f(0) = f′(0) – 1 = 0 in the open unit disk D subordinated to a function generated using the van der Pol numbers, and to derive certain coefficient estimates for a 2, a 3, and the Fekete-Szegő functional upper bound for f ∈ ℳ N ( γ , ϑ , λ ) . Similar results were obtained for the logarithmic coefficients of these functions. Further application of our results to certain functions defined by convolution products with a normalized analytic functions is given, and in particular, we obtain Fekete-Szegő inequalities for certain subclasses of functions defined through the Poisson distribution series. - Harmonic functions associated with Pascal distribution series

B.A. Frasin, M.O. Oluwayemi, S. Porwal, and G. Murugusundaramoorthy

Elsevier BV - On λ-pseudo starlike functions associated with vertical strip domain

Janusz Sokół, G. Murugusundaramoorthy, and K. Vijaya

World Scientific Pub Co Pte Ltd

We consider the class of [Formula: see text]-pseudo starlike functions [Formula: see text] such that [Formula: see text] maps the open unit disk [Formula: see text] onto a strip domain [Formula: see text] with [Formula: see text] for some [Formula: see text], [Formula: see text]. We estimate [Formula: see text], [Formula: see text] and solve the Fekete–Szegö problem for functions in this class. - Certain Class of Bi-Univalent Functions Defined by Sălăgean q-Difference Operator Related with Involution Numbers

Daniel Breaz, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, and Luminiţa-Ioana Cotîrlǎ

MDPI AG

We introduce and examine two new subclass of bi-univalent function Σ, defined in the open unit disk, based on Sălăgean-type q-difference operators which are subordinate to the involution numbers. We find initial estimates of the Taylor–Maclaurin coefficients |a2| and |a3| for functions in the new subclass introduced here. We also obtain a Fekete–Szegö inequality for the new function class. Several new consequences of our results are pointed out, which are new and not yet discussed in association with involution numbers. - Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients

Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, and Teodor Bulboacă

MDPI AG

In this article we introduce three new subclasses of the class of bi-univalent functions Σ, namely HGΣ, GMΣ(μ) and GΣ(λ), by using the subordinations with the functions whose coefficients are Gregory numbers. First, we evidence that these classes are not empty, i.e., they contain other functions besides the identity one. For functions in each of these three bi-univalent function classes, we investigate the estimates a2 and a3 of the Taylor–Maclaurin coefficients and Fekete–Szegő functional problems. The main results are followed by some particular cases, and the novelty of the characterizations and the proofs may lead to further studies of such types of similarly defined subclasses of analytic bi-univalent functions. - Sakaguchi Type Starlike Functions Related with Miller-Ross-Type Poisson Distribution in Janowski Domain

Sheza M. El-Deeb, Asma Alharbi, and Gangadharan Murugusundaramoorthy

MDPI AG

In this research, using the Poisson-type Miller-Ross distribution, we introduce new subclasses Sakaguchi type of star functions with respect to symmetric and conjugate points and discusses their characteristic properties and coefficient estimates. Furthermore, we proved that the class is closed by an integral transformation. In addition, we pointed out some new subclasses and listed their geometric properties according to specializing in parameters that are new and no longer studied in conjunction with a Miller-Ross Poisson distribution. - On a Class of Analytic Functions Related to Robertson’s Formula Involving Crescent Shaped Domain and Lemniscate of Bernoulli

Lech Gruszecki, Adam Lecko, Gangadharan Murugusundaramoorthy, and Srikandan Sivasubramanian

MDPI AG

In this paper, we introduce and study the class of analytic functions in the unit disc, which are derived from Robertson’s analytic formula for starlike functions with respect to a boundary point combined with a subordination involving lemniscate of Bernoulli and crescent shaped domains. Using their symmetry property, the basic geometrical and analytical properties of the introduced classes were proved. Early coefficients and the Fekete–Szegö functional were estimated. Results for both classes were also obtained by applying the theory of differential subordinations. - Pascu-Rønning Type Meromorphic Functions Based on Sălăgean-Erdély–Kober Operator

Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, and Alhanouf Alburaikan

MDPI AG

In the present investigation, we introduce a new class of meromorphic functions defined in the punctured unit disk Δ*:={ϑ∈C:0<|ϑ|<1} by making use of the Erdély–Kober operator Iς,ϱτ,κ which unifies well-known classes of the meromorphic uniformly convex function with positive coefficients. Coefficient inequalities, growth and distortion inequalities, in addition to closure properties are acquired. We also set up a few outcomes concerning convolution and the partial sums of meromorphic functions in this new class. We additionally state some new subclasses and its characteristic houses through specializing the parameters that are new and no longer studied in association with the Erdély–Kober operator thus far.

- Attributes of Subordination of a Specific Subclass of p-Valent Meromorphic Functions Connected to a Linear Operator

RM El-Ashwah, AH El-Qadeem, G Murugusundaramoorthy, IS Elshazly, ...

Symmetry 16 (10), 1338 2024 - Applications of Mittag–Leffler Functions on a Subclass of Meromorphic Functions Influenced by the Definition of a Non-Newtonian Derivative

D Breaz, KR Karthikeyan, G Murugusundaramoorthy

Fractal and Fractional 8 (9), 509 2024 - Applications of Caputo-Type Fractional Derivatives for Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation

KM Alsager, G Murugusundaramoorthy, A Catas, SM El-Deeb

Fractal and Fractional 8 (9), 501 2024 - Brief Study On A New Family of Analytic Functions

JO Hamzat, G Murugusundaramoorthy, MO Oluwayemi

Sahand Communications in Mathematical Analysis 2024 - Subclasses of Bi-Univalent Functions Connected with Caputo-Type Fractional Derivatives Based upon Lucas Polynomial

KM Alsager, G Murugusundaramoorthy, D Breaz, SM El-Deeb

Fractal and Fractional 8 (8), 452 2024 - Ozaki-Type Bi-Close-to-Convex and Bi-Concave Functions Involving a Modified Caputo’s Fractional Operator Linked with a Three-Leaf Function

K Vijaya, G Murugusundaramoorthy, D Breaz, GI Oros, SM El-Deeb

Fractal and Fractional 8 (4), 220 2024 - Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain

G Murugusundaramoorthy, H Gney, D Breaz

Mathematics 12 (6), 795 2024 - A class of -bi-pseudo-starlike functions with respect to symmetric points associated with Telephone numbers

G Murugusundaramoorthy, NE Cho, K Vijaya

Afrika Matematika 35 (1), 17 2024 - Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus

KR Karthikeyan, G Murugusundaramoorthy

Fractal and Fractional 8 (3), 131 2024 - Bi-univalent functions subordinated to a three leaf function induced by multiplicative calculus

G Murugusundaramoorthy, K Vijaya, KR Karthikeyan, SM El-Deeb, JS Ro

AIMS Mathematics 9 (10), 26983-26999 2024 - A FAMILY OF HOLOMORPHIC FUNCTIONS ASSOCIATED WITH MUTUALLY ADJOINT FUNCTIONS

KR KARTHIKEYAN, G MURUGUSUNDARAMOORTHY, NE CHO

Journal of applied mathematics & informatics 42 (4), 997-1006 2024 - Coefficient Functionals of Sakaguchi-Type Starlike Functions Involving Caputo-Type Fractional Derivatives Subordinated to the Three-Leaf Function

KM Alsager, SM El-Deeb, G Murugusundaramoorthy, D Breaz

Mathematics 12 (14), 2273 2024 - Classes of analytic functions associated with the (p, q)–derivative operator for generalized distribution satisfying subordinate condition

MG Shrigan, G Murugusundaramoorthy, T Bulboaca

TWMS Journal of Applied and Engineering Mathematics 2024 - Coefficient bounds for certain families of bi-Bazilevic and bi-Ozaki-close-to-convex functions

M Hidan, AK Wanas, FC Khudher, G Murugusundaramoorthy, M Abdalla

2024 - Sufficient conditions of subclasses of spiral-like functions associated with Mittag-Leffler functions

G Murugusundaramoorthy, T Bulboacă

Kragujevac Journal of Mathematics 48 (6), 921-934 2024 - Binomial Series-Confluent Hypergeometric Distribution and Its Applications on Subclasses of Multivalent Functions

I Aldawish, SM El-Deeb, G Murugusundaramoorthy

Symmetry 15 (12), 2186 2023 - Subclasses of Noshiro-Type Starlike Harmonic Functions Involving
*q*-Srivastava–Attiya Operator

G Murugusundaramoorthy, K Vijaya, D Breaz, LI Cotrlǎ

Mathematics 11 (23), 4711 2023 - Bi-Univalent Functions Based on Binomial Series-Type Convolution Operator Related with Telephone Numbers

H Bayram, K Vijaya, G Murugusundaramoorthy, S Yalın

Axioms 12 (10), 951 2023 - Φ-like analytic functions associated with a vertical domain

S Araci, KR Karthikeyan, G Murugusundaramoorthy, B Khan

Math. Inequal. Appl 26, 935-949 2023 - Initial Coefficients and Fekete-Szegő Inequalities for Functions Related to van der Pol Numbers (VPN)

G Murugusundaramoorthy, T Bulboacă

Mathematica Slovaca 73 (5), 1183-1196 2023

- Salagean-type harmonic univalent functions.

JM Jahangiri, G Murugusundaramoorthy, K Vijaya

Southwest Journal of Pure and Applied Mathematics [electronic only] 2002, 77-82 2002

Citations: 159 - Coefficient Bounds for Certain Subclasses of Bi‐Univalent Function

G Murugusundaramoorthy, N Magesh, V Prameela

Abstract and Applied Analysis 2013 (1), 573017 2013

Citations: 131 - Certain subclasses of bi-univalent functions associated with the Hohlov operator

HM Srivastava, G Murugusundaramoorthy, N Magesh

Global J. Math. Anal 1 (2), 67-73 2013

Citations: 125 - Neighborhoods of certain classes of analytic functions of complex order

G Murugusundaramoorthy, HM Srivastava

J. Inequal. Pure Appl. Math 5 (2), 1-8 2004

Citations: 107 - Subclasses of uniformly convex and uniformly starlike functions

KG Subramanian

Mathematica japonicae 42 (3), 517-522 1995

Citations: 104 - Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series

G Murugusundaramoorthy, K Viyaja

Hacettepe Journal of Mathematics and Statistics 45 (4), 1101-1107 2016

Citations: 97 - Hypergeometric functions in the parabolic starlike and uniformly convex domains

HM Srivastava, G Murugusundaramoorthy, S Sivasubramanian

Integral Transforms and Special Functions 18 (7), 511-520 2007

Citations: 91 - Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers

H Gney, G Murugusundaramoorthy, J Sokł

Acta Universitatis Sapientiae, Mathematica 10 (1), 70-84 2018

Citations: 90 - COEFFICIENT INEQUALITIES FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH HANKEL DETERMINANT (DEDICATED IN OCCASION OF THE 65-YEARS OF PROFESSOR RK RAINA)

G Murugusundaramoorthy, N Magesh

Bulletin of Mathematical Analysis and Applications 1 (3), 85-89 2009

Citations: 89 - Subclasses of starlike and convex functions involving Poisson distribution series

G Murugusundaramoorthy

Afrika Matematika 28 (7), 1357-1366 2017

Citations: 70 - Sigmoid function in the space of univalent λ-pseudo starlike functions

G Murugusundaramoorthy, T Janani

Int. J. Pure Appl. Math 101 (1), 33-41 2015

Citations: 58 - Neighbourhoods and partial sums of starlike functions based on Ruscheweyh derivatives

T Rosy, KG Subramanian, G Murugusundaramoorthy

J. Ineq. pure and appl. Math 4 (4) 2003

Citations: 55 - Coefficient estimates for some families of bi-Bazilevic functions of the Ma-Minda type involving the Hohlov operator

HM Srivastava, G Murugusundaramoorthy, K Vijaya

J. Class. Anal 2 (2), 167-181 2013

Citations: 51 - A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials

HM Srivastava, AK Wanas, G Murugusundaramoorthy

Surv. Math. Appl 16, 193-205 2021

Citations: 47 - Fekete–Szeg functional problems for some subclasses of bi-univalent functions defined by Frasin differential operator

F Yousef, T Al-Hawary, G Murugusundaramoorthy

Afrika Matematika 30, 495-503 2019

Citations: 47 - Coefficient estimate of biunivalent functions of complex order associated with the Hohlov operator

Z Peng, G Murugusundaramoorthy, T Janani

Journal of Complex analysis 2014 (1), 693908 2014

Citations: 45 - Coefficient bounds for bi-univalent analytic functions associated with Hohlov operator

T Panigrahi, G Murugusundaramoorthy

Proceedings of the Jangjeon Mathematical Society 16 (1), 91-100 2013

Citations: 44 - Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type

HM Srivastava, G Murugusundaramoorthy, SM El-Deeb

J. Nonlinear Var. Anal 5 (1), 103-118 2021

Citations: 42 - On certain subclasses of analytic functions associated with hypergeometric functions

G Murugusundaramoorthy, N Magesh

Applied mathematics letters 24 (4), 494-500 2011

Citations: 41 - Bi-Bazilevic functions of order ϑ+ iδ associated with (p, q)-Lucas polynomials

A Amourah, BA Frasin, G Murugusundaramoorthy, T Al-Hawary

AIMS Math 6 (5), 4296-4305 2021

Citations: 40