Results 71 to 80 of about 6,414,954 (167)

Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function

Advances in Difference Equations, 2020
This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler ...
Kottakkaran Sooppy Nisar, D. L. Suthar, R. Agarwal, S. D. Purohit   +3 more
doaj   +1 more source

On properties and applications of (p,q)-extended τ-hypergeometric functions

Comptes Rendus. Mathématique, 2018
We introduce the ( p , q ) -extended τ -hypergeometric and confluent hypergeometric functions along with their integral ...
Parmar, Rakesh K., Pogány, Tibor K., Saxena, Ram K.   +2 more
openaire   +4 more sources

A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments

Axioms
In this paper, the authors briefly review some closed-form formulas of the Gauss hypergeometric function at specific arguments, alternatively prove four of these formulas, newly extend a closed-form formula of the Gauss hypergeometric function at some ...
Yue-Wu Li, Feng Qi
doaj   +1 more source

Notes on algebraic functions

International Journal of Mathematics and Mathematical Sciences, 2003
Consideration of the monodromy group of the hypergeometric equation z(1−z)w″+[γ−(1+α+β)z]w′−αβw=0, in the case of α=1/6, β=5/6, γ=7/6, shows that the global hypergeometric function solution F(1/6;5/6;7/6;z) is nonalgebraic although it has only algebraic ...
Guan Ke-Ying, Lei Jinzhi
doaj   +1 more source

On the Extended Hypergeometric Matrix Functions and Their Applications for the Derivatives of the Extended Jacobi Matrix Polynomial

Mathematical Problems in Engineering, 2020
In this paper, we obtain some generating matrix functions and integral representations for the extended Gauss hypergeometric matrix function EGHMF and their special cases are also given. Furthermore, a specific application for the extended Gauss hypergeometric matrix function which includes Jacobi matrix polynomials is constructed.
Fuli He, Ahmed Bakhet, M. Abdalla, M. Hidan   +3 more
openaire   +1 more source

A (p,q)-extension of Srivastava's triple hypergeometric function H_B and its properties [PDF]

, 2019
In this paper, we obtain a (p,q)-extension of Srivastava's triple hypergeometric function HB(⋅), by using the extended Beta function Bp,q(x,y) introduced by Choi et al. (2014).
Dar, S. A., Paris, R. B.
core   +1 more source

A (p,ν)-extension of Srivastava’s triple hypergeometric function HC [PDF]

, 2020
We obtain a (p,ν)-extension of Srivastava’s triple hypergeometric function HC(•) by employing the extended Beta function Bp,ν(x, y) introduced in Parmar et al. [J. Class. Anal. 11 (2017), 91-106].
Dar, S. A., Paris, R. B.
core   +1 more source

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +1 more source

hypergeometric-1.0

, 2016
R code script for performing the hypergeometric test and BH FDR correction (Bunnik et al., Genome Biology, 2016) This script performs a hypergeometric test on each row of a dataframe with 4 columns.
Evelien Bunnik (2831954)
core   +1 more source

A new generalization of confluent hypergeometric function and whittaker function

, 2018
In this article, we introduce a further generalizations of the confluent hypergeometric function and Whittaker function by introducing an extra parameter in the extended con uent hypergeometric function dened by Parmar [15].
Mohd Ghayasuddin, Talha Usman, Nabiullah Khan   +2 more
core   +1 more source