Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

Rahul Goyal; Praveen Agarwal; Georgia Irina Oros; Shilpi Jain

doi:10.3390/math10060892

Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

Rahul Goyal
, Praveen Agarwal
, Georgia Irina Oros
, Shilpi Jain

International College of Engineering
University of Oradea
Poornima College of Engineering

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.

Original language	English
Article number	892
Journal	Mathematics
Volume	10
Issue number	6
DOIs	https://doi.org/10.3390/math10060892
State	Published - 1 Mar 2022
Externally published	Yes

Keywords

Beta matrix function
Gamma matrix function
Matrix functional calculus
Mittag-Leffler matrix function

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10.3390/math10060892

Cite this

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title = "Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function",

abstract = "The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.",

keywords = "Beta matrix function, Gamma matrix function, Matrix functional calculus, Mittag-Leffler matrix function",

author = "Rahul Goyal and Praveen Agarwal and Oros, \{Georgia Irina\} and Shilpi Jain",

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language = "English",

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AU - Agarwal, Praveen

AU - Oros, Georgia Irina

AU - Jain, Shilpi

PY - 2022/3/1

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AB - The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.

KW - Beta matrix function

KW - Gamma matrix function

KW - Matrix functional calculus

KW - Mittag-Leffler matrix function

UR - https://www.scopus.com/pages/publications/85126803388

U2 - 10.3390/math10060892

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JO - Mathematics

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ER -

Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

Abstract

Keywords

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