An extension of the k-gamma and k-beta matrix functions by use of the two-parameter k-Mittag-Leffler function

Shilpi Jain; Praveen Agarwal; Parik Laxmi

doi:10.1016/B978-0-44-336484-6.00012-6

An extension of the k-gamma and k-beta matrix functions by use of the two-parameter k-Mittag-Leffler function

Shilpi Jain
, Praveen Agarwal
, Parik Laxmi

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
International College of Engineering
Poornima University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The primary goal of this chapter is to investigate a modified version of the k-beta and k-gamma matrix functions via the two-parameter k-Mittag-Leffler function. We also focus on specific properties of these extended k-matrix functions, such as functional relations, symmetric relations, summation relations, integral representations, and generating relations that are satisfied by the k-beta and k-gamma matrix functions.

Original language	English
Title of host publication	Extended Hypergeometric Functions and Orthogonal Polynomials
Publisher	Elsevier
Pages	45-62
Number of pages	18
ISBN (Electronic)	9780443364846
ISBN (Print)	9780443364853
DOIs	https://doi.org/10.1016/B978-0-44-336484-6.00012-6
State	Published - 1 Jan 2026

Keywords

Classical beta matrix function
Classical gamma matrix function
Mellin transform
Pochhammer matrix symbol
k-Pochhammer matrix symbol
k-beta matrix function
k-gamma matrix function

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10.1016/B978-0-44-336484-6.00012-6

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AB - The primary goal of this chapter is to investigate a modified version of the k-beta and k-gamma matrix functions via the two-parameter k-Mittag-Leffler function. We also focus on specific properties of these extended k-matrix functions, such as functional relations, symmetric relations, summation relations, integral representations, and generating relations that are satisfied by the k-beta and k-gamma matrix functions.

KW - Classical beta matrix function

KW - Classical gamma matrix function

KW - Mellin transform

KW - Pochhammer matrix symbol

KW - k-Pochhammer matrix symbol

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KW - k-gamma matrix function

UR - https://www.scopus.com/pages/publications/105032973448

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BT - Extended Hypergeometric Functions and Orthogonal Polynomials

PB - Elsevier

ER -

An extension of the k-gamma and k-beta matrix functions by use of the two-parameter k-Mittag-Leffler function

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Keywords

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