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.
On certain subclasses of univalent functions associated with generalized Poisson distribution series S. Porwal, S.K. Ghai Carpathian Mathematical Publications, 2025 The purpose of the present paper is to obtain necessary and sufficient condition for generalized Poisson distribution series to be in certain classes of univalent functions. We also consider an integral operator associated with generalized Poisson distribution series.
QUANTUM APPROACH ON CONVOLUTION OF HARMONIC UNIVALENT MAPPINGS A. Cetinkaya, O. Mishra, S. Porwal Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2025 In this paper, we construct a new family of locally univalent and sensepreserving harmonic mappings Tc,q[f] by using quantum approach in the open unit disk D. We prove that the convolution of a harmonic convex mapping Tc,q[f] with a right half-plane mapping is q-convex in the direction of the real axis provided that the convolution is locally univalent and sense-preserving. Further, we show that the convolution of Tc,q[f] with a vertical strip mapping is also q-convex in the direction of the real axis. In particular, the results in this paper generalize or improve (in certain cases) the corresponding results obtained by recent researchers.
Some classes involving a convolution of analytic functions with some univalency conditions Poonam Sharma, Aditya Kishore Bajpai, Omendra Mishra, Saurabh Porwal Studia Universitatis Babes Bolyai Mathematica, 2025 In this paper, involving a convolution \\(f\\ast g\\), two classes of normalized analytic functions \\(f\\) are defined. Showing an inclusion relation between these classes, various sufficient conditions for functions to be in these classes are established. In particular, varied forms of univalency conditions of the convolution function \\(f\\ast g\\) are given which lead to some univalency conditions of several linear operators.
GENERALIZED MITTAG-LEFFLER TYPE POISSON DISTRIBUTION P. Dixit, L. Gaurav, S. Porwal, R. Agarwal, and South East Asian Journal of Mathematics and Mathematical Sciences, 2024 The main object of this paper is to introduce generalized Mittag-Leffler type Poisson distribution. We obtain results regarding moments about the origin, Moment generating function, probability generating function and characteristic function for this distribution. It should be worthy to note that the above results reduce to corresponding results of Mittag-Leffler type Poisson distribution and Poisson distribution for specific values of parameters.
On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series Sunday Olufemi Olatunji, Matthew Olanrewaju Oluwayemi, Saurabh Porwal, Alina Alb Lupas Symmetry, 2024 Various researchers have considered different forms of bi-univalent functions in recent times, and this has continued to gain more attention in Geometric Function Theory (GFT), but not much study has been conducted in the area of application of the certain probability concept in geometric functions. In this manuscript, our motivation is the application of analytic and bi-univalent functions. In particular, the researchers examine bi-univalency of a generalized distribution series related to Bell numbers as a family of Caratheodory functions. Some coefficients of the class of the function are obtained. The results are new as far work on bi-univalency is concerned.
A NEW SUBCLASS OF HARMONIC UNIVALENT FUNCTIONS ASSOCIATED WITH q-CALCULUS S. Porwal, M.K. Singh Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2024 The purpose of the present paper is to introduce a new subclass of harmonic univalent functions by applying q-calculus. Coefficient inequalities,extreme points, distortion bounds, covering results, convolution condition and convex combination are determined for this class. Finally, we discuss a class preserving integral operator for this class.
Certain subclasses of harmonic univalent functions defined by (p, q)- calculus operator Mathematics in Engineering Science and Aerospace, 2022
Mapping properties of generalized distribution series on univalent functions Montes Taurus Journal of Pure and Applied Mathematics, 2022
WRIGHT DISTRIBUTION AND ITS APPLICATIONS ON UNIVALENT FUNCTIONS UPB Scientific Bulletin Series A Applied Mathematics and Physics, 2022
THE FEKETE-SZEGÖ PROBLEM FOR A GENERALIZED CLASS OF ANALYTIC FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH q−CALCULUS Palestine Journal of Mathematics, 2022
MAPPING PROPERTIES OF HYPERGEOMETRIC TRANSFORMS ON CERTAIN CLASS OF ANALYTIC FUNCTIONS South East Asian Journal of Mathematics and Mathematical Sciences, 2021
An application of generalized distribution series on certain classes of univalent functions associated with conic domains Surveys in Mathematics and Its Applications, 2021
Subclasses of Starlike and Convex Functions Associated with Mittag-Leffler-type Poisson Distribution Series Montes Taurus Journal of Pure and Applied Mathematics, 2021
Mapping properties of certain subclasses of analytic functions associated with generalized distribution series Applied Mathematics E Notes, 2020
New subclasses of bi-univalent functions defined by multiplier transformation ", Saurabh Porwal, Lecturer Mathematics, Sri Radhey Lal Arya Inter College, Aihan, Hathras-204101, (U.P.), India e-mail: saurabhjcb@rediffmail.com", Shivam Kumar, "Department of Mathematics, UIET, CSJM University, Kanpur-208024, (U.P.), India" Studia Universitatis Babes Bolyai Mathematica, 2020
An application of hypergeometric distribution type series on certain analytic functions Thai Journal of Mathematics, 2020
An application of (p; q)-calculus in harmonic univalent functions Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2020
Some inclusion relations between various subclasses of planar harmonic mappings involving confluent hypergeometric distribution series Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2019
Fekete-Szegö problem for a class of analytic functions defined by Carlson-Shaffer operator Department of Mathematics, UIET, CSJM University, Kanpur-208024, (U.P.), India, e-mail: saurabhjcb@rediffmail.com, Saurabh Porwal, Kaushal Kumar, Department of Mathematics, UIET, CSJM University, Kanpur-208024, (U.P.), India Studia Universitatis Babes Bolyai Mathematica, 2018
A family of harmonic univalent functions associated with a convolution operator Mathematica, 2011
On a subclass of harmonic univalent functions defined by convolution and integral convolution International Journal of Pure and Applied Mathematics, 2011
A unified presentation of certain subclasses of harmonic univalent functions Far East Journal of Mathematical Sciences, 2010
On Certain New Subclass of Janowski Harmonic Univalent Functions Defined Using Subordination RS Srinivasan, S Porwal, R Ezhilarasi, TV Sudharsan Iranian Journal of Science 49 (6), 1619-1630 , 2025 2025
AN APPLICATION OF GENERALIZED WRIGHT FUNCTION ON CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS. A Srivastava, MK Singh, S Porwal South East Asian Journal of Mathematics & Mathematical Sciences 21 (2) , 2025 2025
SOME RELATIONSHIPS BETWEEN SUBCLASSES OF UNIVALENT ANALYTIC FUNCTIONS INVOLVING THE WRIGHT FUNCTION S Porwal, N Magesh, R Themangani South East Asian Journal of Mathematics & Mathematical Sciences 21 (2) , 2025 2025
-Analogue of a -harmonic mapping S Porwal, O Mishra, G Murugusundaramoorthy Asian-European Journal of Mathematics 18 (07), 2550003 , 2025 2025
Some classes involving a convolution of analytic functions with some univalency conditions. P Sharma, AK Bajpai, O Mishra, S Porwal Studia Universitatis Babeş-Bolyai, Mathematica 70 (2) , 2025 2025
On certain subclasses of univalent functions associated with generalized Poisson distribution series S Porwal, SK Ghai Carpathian Mathematical Publications 17 (1), 27-32 , 2025 2025
MAPPING PROPERTIES OF UNIVALENT FUNCTIONS ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS A Srivastava, MK Singh, S Porwal Journal of Rajasthan Academy of Physical Sciences 24 (3-4), 225-240 , 2025 2025
Quantum Approach on Convolution of Harmonic Univalent Mappings A Çetinkaya, O Mishra, S Porwal Transilvania University of Brasov 1 , 2025 2025
Post-quantum Approach in Harmonic Univalent Functions O Mishra, S Porwal, R Porwal, AK Yadav International Conference on Mathematics and Logics in Computer Science, 511-523 , 2024 2024
GENERALIZED MITTAG-LEFFLER TYPE POISSON DISTRIBUTION P Dixit, L Gaurav, S Porwal, R Agarwal SOUTH EAST ASIAN JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES 20 (02 … , 2024 2024
Starlike and Convex functions associated with Hypergeometric Matrix functions S Porwal, O Mishra Electronic Journal of Mathematical Analysis and Applications 12 (2), 1-7 , 2024 2024
On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series SO Olatunji, MO Oluwayemi, S Porwal, A Alb Lupas Symmetry 16 (6), 773 , 2024 2024 Citations: 1
A new subclass of harmonic univalent functions associated with q-Calculus S Porwal, MK Singh Bulletin of the Transilvania University of Brasov. Mathematics, Informatics … , 2024 2024 Citations: 2
Inclusion Relations of Various Subclasses of Harmonic Univalent Mappings and k-Uniformly Harmonic Starlike Functions. S Porwal, N Magesh Southeast Asian Bulletin of Mathematics 47 (6) , 2023 2023 Citations: 1
Harmonic functions associated with Pascal distribution series BA Frasin, MO Oluwayemi, S Porwal, G Murugusundaramoorthy Scientific African 21, e01876 , 2023 2023 Citations: 2
Harmonic univalent functions with fixed finitely many coefficients defined by calculus S Porwal, N Shukla, O Mishra Journal of Fractional Calculus and Applications 14 (2), 1-12 , 2023 2023 Citations: 3
Starlikeness of an integral operator associated with Mittag-Leffler functions P Dixit, S Porwal, MK Singh International Journal of Nonlinear Analysis and Applications 14 (5), 1-7 , 2023 2023
On polyharmonic mappings O Mishra, S Porwal Afrika Matematika 34 (1), 8 , 2023 2023 Citations: 2
On Janowski type harmonic functions associated with the Wright hypergeometric functions G Murugusundaramoorthy, S Porwal Владикавказский математический журнал 25 (4), 91-102 , 2023 2023 Citations: 3
CONNECTIONS BETWEEN VARIOUS SUBCLASSES OF PLANAR HARMONIC MAPPINGS ASSOCIATED WITH GENERALIZED DISTRIBUTION SERIES. S Porwal, N Magesh, J Nirmala Bulletin of International Mathematical Virtual Institute 13 (1) , 2023 2023
MOST CITED SCHOLAR PUBLICATIONS
An application of a Poisson distribution series on certain analytic functions S Porwal Journal of Complex Analysis 2014 (1), 984135 , 2014 2014 Citations: 238
On a new subclass of bi-univalent functions S Porwal, M Darus Journal of the Egyptian Mathematical Society 21 (3), 190-193 , 2013 2013 Citations: 130
A unified study on starlike and convex functions associated with Poisson distribution series S Porwal, M Kumar Afrika Matematika 27 (5), 1021-1027 , 2016 2016 Citations: 117
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
Generalized distribution and its geometric properties associated with univalent functions S Porwal Journal of complex Analysis 2018 (1), 8654506 , 2018 2018 Citations: 65
An application of generalized Bessel functions on certain analytic functions S Porwal, KK Dixit Acta Univ. M. Belii Ser. Math 21, 55-61 , 2013 2013 Citations: 63
Mapping properties of generalized Bessel functions on some subclasses of univalent functions S Porwal Anal. Univ. Oradea Fasc. Matematica 20 (2), 51-60 , 2013 2013 Citations: 43
Confluent hypergeometric distribution and its applications on certain classes of univalent functions S Porwal, S Kumar Afrika Matematika 28 (1), 1-8 , 2017 2017 Citations: 39
An application of certain convolution operator involving hypergeometric functions S Porwal, KK Dixit J. Raj. Acad. Phy. Sci 9 (2), 173-186 , 2010 2010 Citations: 38
A subclass of harmonic univalent functions with positive coefficients KK Dixit, S Porwal Tamkang Journal of Mathematics 41 (3), 261-269 , 2010 2010 Citations: 35
On Mittag-Leffler type Poisson distribution S Porwal, KK Dixit Afrika Matematika 28 (1), 29-34 , 2017 2017 Citations: 33
Class mappings properties of convolutions involving certain univalent functions associated with hypergeometric functions AK Sharma, S Porwal, KK Dixit Electronic J. Math. Anal. Appl 1 (2), 326-333 , 2013 2013 Citations: 31
An application of hypergeometric functions on harmonic univalent functions S Porwal, KK Dixit Bull. Math. Anal. Appl 2 (4), 97-105 , 2010 2010 Citations: 28
Some sufficient conditions for generalized Bessel functions associated with conic regions S Porwal, M Ahmad Vietnam Journal of Mathematics 43 (1), 163-172 , 2015 2015 Citations: 27
Subclasses of starlike and convex functions associated with Mittag-Leffler-type Poisson distribution series BA Frasin, S Porwal, F Yousef Montes Taurus Journal of Pure and Applied Mathematics 3 (3), 147-154 , 2021 2021 Citations: 23
Some properties of harmonic functions defined by convolution KK Dixit, S Porwal Kyungpook Mathematical Journal 49 (4), 751-761 , 2009 2009 Citations: 23
On a subclass of harmonic univalent functions defined by convolution and integral convolution KK Dixit, AL Pathak, S Porwal, R Agarwal Int. J. Pure Appl. Math 69 (3), 255-264 , 2011 2011 Citations: 21
Generalized hypergeometric distribution and its applications on univalent functions R Themangani, S Porwal, N Magesh Journal of Inequalities and Applications 2020 (1), 249 , 2020 2020 Citations: 20
Partial sums of starlike harmonic univalent functions S Porwal, KK Dixit Kyungpook Mathematical Journal 50 (3), 433-445 , 2010 2010 Citations: 20
On a subclass of harmonic univalent functions KK Dixit, S Porwal J. Inequal. Pure Appl. Math 10 (1), 1-18 , 2009 2009 Citations: 20