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
Bi- Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial K. Vijaya, G. Murugusundaramoorthy, Daniel Breaz, Luminiţa-Ioana Cotîrlă Analele Stiintifice Ale Universitatii Ovidius Constanta Seria Matematica, 2026 Considering the interesting results obtained recently by studying Rabotnov function, in this paper using the normalized Rabotnov function and the concept of subordination related with the Lucas Balancing polynomial, we defined two new subclasses of the bi-starlike and biconvex function of complex order in the open unit disc and obtained bounds of the initial Taylor-Maclaurin coefficients for functions in these classes. Furthermore, we have determined the Fekete-Szegö inequalities for function in the above mentioned classes. Several related corollaries are also presented.
An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions Ibtisam Aldawish, Hari M. Srivastava, Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya Fractal and Fractional, 2025 In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives. We find constraints on initial Taylor coefficients |c2|, |c3| for functions in these subclasses of bi-univalent functions. Additionally, by using the values of a2,a3 we determine the Fekete–Szegö inequality results. Moreover, a few new subclasses are deduced that have not been studied in relation to Liouville–Caputo fractional derivatives so far. The implications of the results are also emphasized. Our results are concrete examples of several earlier discoveries that are not only improved but also expanded upon.
Q-Analogue of a p-harmonic mapping Saurabh Porwal, Omendra Mishra, G. Murugusundaramoorthy Asian European Journal of Mathematics, 2025 The primary objective of this paper is to explore a novel subclass [Formula: see text] of [Formula: see text]-harmonic mappings, along with the associated subclass [Formula: see text]. We demonstrate that the mapping [Formula: see text] is both univalent and sense-preserving within the unit disk [Formula: see text]. Furthermore, we determine the extreme points of [Formula: see text] and establish that [Formula: see text] is defined. Additional results include the derivation of distortion bounds, the convolution condition, and the convex combination for this subclass. Finally, we examine the class-preserving integral operator and introduce a [Formula: see text]-Jackson type integral operator.
Fekete-Szegö inequality for certain subclasses of multivalent functions associated with q-derivative Palestine Journal of Mathematics, 2025
RECENT SCHOLAR PUBLICATIONS
Miller–Ross-functions coefficients and kernel-based CT-scan enhancement technique G Murugusundaramoorthy, M Nalliah Scientific Reports , 2026 2026
Bi-Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial K Vijaya, G Murugusundaramoorthy, D Breaz, C Luminiţa-Ioana Analele Stiintifice ale Universitatii" Ovidius" Constanta. Seria Matematica … , 2026 2026
GRAPHICAL AND COEFFICIENT ANALYSIS OF ANALYTIC BI-UNIVALENT FUNCTIONS DEFINED BY BIVARIATE FIBONACCI-TYPE STRUCTURES A Akgul, G Murugusundaramoorthy Honam Mathematical Journal 48 (1), 73-86 , 2026 2026
CONSTRUCTION OF SYMMETRIC TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF SOKOL-STANKIEWICZ STARLIKE FUNCTIONS ENDOWED WITH q-DERIVATIVE OPERATOR. M NANDEESH, M SALESTINA, P ARCHANA, ... Journal of Computational Analysis & Applications 35 (1) , 2026 2026
INEQUALITIES FORMULATED BY A SPECIAL CLASS OF BAZILEVIČ FUNCTIONS COMBINING THE BELL SERIES G MURUGUSUNDARAMOORTHY, RW IBRAHIM Kragujevac Journal of Mathematics 50 (7), 1135-1147 , 2026 2026
A Subclass of Analytic Functions Involving Certain Mathieu-Type Series B Khan, G Murugusundaramoorthy, S Asif Advances in Analysis and Applied Mathematics 2 (2), 73-88 , 2025 2025 Citations: 2
Fekete-Szego Inequality for Analytic and Bi-Univalent Functions Related with Horadam Polynomials S Prathiba, T Rosy, G Murugusundaramoorthy South East Asian Journal of Mathematics & Mathematical Sciences 21 (3), 23 , 2025 2025
On Babalola-Type Bi-Starlike Functions Based on Erdély–Kober Fractional-Order Derivative Subordinate to Second Einstein Function G Murugusundaramoorthy, K Vijaya, LI Cotîrlǎ Complex Analysis and Operator Theory 19 (8), 1-16 , 2025 2025
Bi-Bazilevic functions based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution M Gangadharan Korean Journal of Mathematics 33 (3), 205-218 , 2025 2025
Fractional Analysis of Coefficient Estimates for Starlike Functions in Shell-Like Domains G Murugusundaramoorthy, AA Lupas, K Vijaya, MA Yousif, ... Fractals, 2540271 , 2025 2025
Third Hankel Determinant and Zalcman Functional for Sakaguchi Type Starlike Functions Involving q-Derivative Operator Related with Sine Function S Ashwini, MR Salestina, G Murugusundaramoorthy International Journal of Analysis and Applications 23, 209-209 , 2025 2025 Citations: 2
Estimate on Logarithmic Co-Efficients of Sokol-Stankiewicz Type Star-Like Function Associated with Caratheodory Functions M Nandeesh, MR Salestina, G Murugusundaramoorthy International Journal of Analysis and Applications 23, 191-191 , 2025 2025 Citations: 1
An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions I Aldawish, HM Srivastava, SM El-Deeb, G Murugusundaramoorthy, ... Fractal and Fractional 9 (8), 505 , 2025 2025 Citations: 1
-Analogue of a -harmonic mapping S Porwal, O Mishra, G Murugusundaramoorthy Asian-European Journal of Mathematics 18 (07), 2550003 , 2025 2025
COEFFICIENT ESTIMATES FOR ANALYTIC FUNCTIONS SUBORDINATED TO THE FOUR LEAF FUNCTION G Murugusundaramoorthy, T Bulboaca Annals: Series on Mathematics & its Applications 17 (2) , 2025 2025
Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function G Murugusundaramoorthy, AA Lupas, A Alburaikan, SM El-Deeb Demonstratio Mathematica 58 (1), 20250123 , 2025 2025 Citations: 1
Certain Subclasses of Bi-univalent Functions Associated with (u, v)-Chebyshev Polynomials TG Shaba, S Yalçin, G Murugusundaramoorthy, M Darus Applied Mathematics-A Journal of Chinese Universities 40 (2), 429-442 , 2025 2025 Citations: 1
Universally prestarlike functions associated with generalized telephone numbers: G. Murugusundaramoorthy, HÖ Güney G Murugusundaramoorthy, HÖ Güney Afrika Matematika 36 (2), 87 , 2025 2025
Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative KR Karthikeyan, D Breaz, G Murugusundaramoorthy, G Thirupathi Mathematics 13 (10), 1606 , 2025 2025
THE ( p , q )-ANALOG OF THE SĂLĂGEAN-TYPE MULTIVALENT HARMONIC FUNCTIONS ASSOCIATED WITH SUBORDINATION P Long, J Liu, M Gangadharan Journal of Mathematical Sciences 290 (4), 457-465 , 2025 2025
MOST CITED SCHOLAR PUBLICATIONS
Salagean-type harmonic univalent functions. JM Jahangiri, G Murugusundaramoorthy, K Vijaya Southwest Journal of Pure and Applied Mathematics [electronic only] 2002, 77-82 , 2002 2002 Citations: 171
Coefficient Bounds for Certain Subclasses of Bi‐Univalent Function G Murugusundaramoorthy, N Magesh, V Prameela Abstract and Applied Analysis 2013 (1), 573017 , 2013 2013 Citations: 159
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 2013 Citations: 131
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 2016 Citations: 116
Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers HÖ Güney, G Murugusundaramoorthy, J Sokół Acta Universitatis Sapientiae, Mathematica 10 (1), 70-84 , 2018 2018 Citations: 112
Neighborhoods of certain classes of analytic functions of complex order G Murugusundaramoorthy, HM Srivastava J. Inequal. Pure Appl. Math 5 (2), 1-8 , 2004 2004 Citations: 112
Subclasses of uniformly convex and uniformly starlike functions KG Subramanian Mathematica japonicae 42 (3), 517-522 , 1995 1995 Citations: 109
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 2007 Citations: 105
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 2009 Citations: 99
Subclasses of starlike and convex functions involving Poisson distribution series G Murugusundaramoorthy Afrika Matematika 28 (7), 1357-1366 , 2017 2017 Citations: 94
Fekete–Szegö functional problems for some subclasses of bi-univalent functions defined by Frasin differential operator F Yousef, T Al-Hawary, G Murugusundaramoorthy Afrika Matematika 30 (3), 495-503 , 2019 2019 Citations: 74
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 2021 Citations: 64
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 2015 Citations: 64
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 2014 Citations: 63
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 2021 Citations: 60
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 2003 Citations: 60
The second Hankel determinant for subclasses of bi-univalent functions associated with a nephroid domain HM Srivastava, G Murugusundaramoorthy, T Bulboacă Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2022 2022 Citations: 55
Univalent functions with positive coefficients involving Pascal distribution series T Bulboaca, G Murugusundaramoorthy Commun. Korean Math. Soc 35 (3), 867-877 , 2020 2020 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 2013 Citations: 53
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 2021 Citations: 45