On a new extension of extended (p,q) Beta function

The main objective of this paper is to introduce a further extension of extended (p, q)-Beta function by considering product of two Mittag-Leffler functions in the kernel. We investigate various properties of this newly defined Beta function such as integral representations, summation formulas and Mellin transform. Further, some known and new relations for various forms of extended Beta functions are obtained as special cases of the main results.

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Publication Details

Journal
University of Aden Journal of Natural and Applied Sciences
Published
2024-09-22
DOI
https://doi.org/10.47372/uajnas.2024.n1.a05
Primary Topic
Mathematical functions and polynomials
Type
article
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article

On a new extension of extended (p,q) Beta function

Salem Saleh Barahmah
University of Aden Journal of Natural and Applied Sciences
Mathematical functions and polynomials
article

On a new extension of extended (p,q) Beta function

Salem Saleh Barahmah
article en

Abstract

The main objective of this paper is to introduce a further extension of extended (p, q)-Beta function by considering product of two Mittag-Leffler functions in the kernel. We investigate various properties of this newly defined Beta function such as integral representations, summation formulas and Mellin transform. Further, some known and new relations for various forms of extended Beta functions are obtained as special cases of the main results.

University of Aden Journal of Natural and Applied SciencesVol. 28(1)
University of Aden (YE)
Openalex Percentile: Top 73%
Mathematical functions and polynomials
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On a new extension of extended (p,q) Beta function — Salem Saleh Barahmah · University of Aden Journal of Natural and Applied Sciences (2024) | TGRS Research Map | TGRS