An extension of beta function by using wiman’s function

Rahul Goyal; Shaher Momani; Praveen Agarwal; Michael Th Rassias

doi:10.3390/axioms10030187

An extension of beta function by using wiman’s function

Rahul Goyal
, Shaher Momani
, Praveen Agarwal
, Michael Th Rassias

Nonlinear Dynamic Research Centre (NDRC)

International College of Engineering
University of Jordan
Harish Chandra Research Institute
International Center for Basic and Applied Sciences
Institute for Advanced Studies

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

24 Scopus citations

Abstract

The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman. In particular, we study some functional relations, integral representation, Mellin transform and derivative formulas for this extended beta function.

Original language	English
Article number	187
Journal	Axioms
Volume	10
Issue number	3
DOIs	https://doi.org/10.3390/axioms10030187
State	Published - Sep 2021

Keywords

Classical euler beta function
Confluent hypergeometric function
Gamma function
Gauss hypergeometric function
Mittag-leffler function

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10.3390/axioms10030187

Cite this

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abstract = "The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman. In particular, we study some functional relations, integral representation, Mellin transform and derivative formulas for this extended beta function.",

keywords = "Classical euler beta function, Confluent hypergeometric function, Gamma function, Gauss hypergeometric function, Mittag-leffler function",

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AU - Goyal, Rahul

AU - Momani, Shaher

AU - Agarwal, Praveen

AU - Rassias, Michael Th

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AB - The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman. In particular, we study some functional relations, integral representation, Mellin transform and derivative formulas for this extended beta function.

KW - Classical euler beta function

KW - Confluent hypergeometric function

KW - Gamma function

KW - Gauss hypergeometric function

KW - Mittag-leffler function

UR - https://www.scopus.com/pages/publications/85113394123

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DO - 10.3390/axioms10030187

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VL - 10

JO - Axioms

JF - Axioms

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ER -

An extension of beta function by using wiman’s function

Abstract

Keywords

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