Mohd Aman

Aligarh Muslim University, Department of Applied Mathematics, Graduate Student

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Phone: 09068246434
Address: Department of Applied Mathematics,
Aligarh Muslim University, Aligarh, India-202002

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Università degli studi Roma Tre

Ilia Tavkhelidze

Tbilisi State University

Banu Yilmaz

Rehana Khan

Paolo Ricci

Università Telematica Internazionale Uninettuno

Rehana Khan

Doetsk Christian University

Yilmaz Simsek

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Papers by Mohd Aman

Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods

Symmetry

A remarkably large of number of polynomials have been presented and studied. Among several import... more A remarkably large of number of polynomials have been presented and studied. Among several important polynomials, Legendre polynomials, Gould-Hopper polynomials, and Sheffer polynomials have been intensively investigated. In this paper, we aim to incorporate the above-referred three polynomials to introduce the Legendre-Gould Hopper-based Sheffer polynomials by modifying the classical generating function of the Sheffer polynomials. In addition, we investigate diverse properties and formulas for these newly introduced polynomials.

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Generalized Wright Function and Its Properties Using Extended Beta Function

Tamkang Journal of Mathematics

Solving a linear partial diﬀerential equation witness a noteworthy role of Wright function. Due t... more Solving a linear partial diﬀerential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extentions (and generalizations) have been investigated and presented. The purpose and design of the paper is intended to study and come up with a new extention of the genralized Wright function by using generalized beta function and obtain some integral representation of the freshly deﬁned function. Also we present the Mellin transform of this function in the form of Fox Wright function. Furthermore, we obtain the recurrence relation, derivative formula for the said function and also by using an extended Riemann-Liouville fractional derivative, we present a fractional derivative formula for the extended Wright function.

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Construction of partially degenerate Laguerre-Genocchi polynomials with their applications

AIMS Mathematics

Certain unified polynomials

Integral Transforms and Special Functions

Computation of certain integral formulas involving generalized Wright function

Advances in Difference Equations

The aim of the paper is to derive certain formulas involving integral transforms and a family of ... more The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as well. Based on the main results, some integral formulas involving different special functions connected with the generalized Wright function are explicitly established as special cases for different values of the parameters. Moreover, a Gaussian quadrature formula has been used to compute the integrals and compare with the main results by using graphical representations.

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Some properties concerning the analysis of generalized Wright function

by Mohd Aman, Nabiullah Khan, and Talha Usman

Analysis of generalized Wright function, 2020

Solving a linear partial differential equation witness a noteworthy role of Wright function. Due ... more Solving a linear partial differential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extensions (and generalizations) have been investigated and presented. The purpose and design of the paper are intended to study and come up with a new extension of the generalized Wright function by using generalized beta function and obtain some integral representation of the freshly defined function. Also, we present the Mellin transform of this function in the form of Fox-Wright function. Furthermore, we obtain the recurrence relation, derivative formula for the said function and also by using an extended Riemann-Liouville fractional derivative, we present a fractional derivative formula for the generalized Wright function.

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Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods

Symmetry

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Generalized Wright Function and Its Properties Using Extended Beta Function

Tamkang Journal of Mathematics

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Construction of partially degenerate Laguerre-Genocchi polynomials with their applications

AIMS Mathematics

Certain unified polynomials

Integral Transforms and Special Functions

Computation of certain integral formulas involving generalized Wright function