ON SOME EXTENDED SPECIAL FUNCTIONS WITH THE BI-FOX-WRIGHT FUNCTION KERNEL

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 36

Volume : 11 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2023.1101.2
Author :
M. L. Kaurangini (Aliko Dangote University of Science and Technology, Wudil P.M.B.: 3244 Kano, Kano State, NIGERIA )
M. P. Chaudhary (International Scientific Research and Welfare Organization (Albert Einstein Chair Professor of Mathematical Sciences) New Delhi 110018, INDIA)
U. M. Abubakar (Aliko Dangote University of Science and Technology, Wudil P.M.B.: 3244 Kano, Kano State, NIGERIA )
I. O. Kiymaz (Department of Mathematics, Faculty of Arts and Science, Kirsehir Ahi Evran University, Kirsehir, TURKEY )
E. Ata (Department of Mathematics, Faculty of Arts and Science, Kirsehir Ahi Evran University, Kirsehir, TURKEY )

Abstract

In the present article, our main goal is to study the new extended beta, Gauss and confluent hypergeometric functions defined by using the two Fox-Wright functions as their kernel. Some applications of the new extended beta function to distribution theory are also discussed.

Keywords and Phrases

Gamma function, Beta function, Fox-Wright function, Mellin transform.

A.M.S. subject classification

33B15, 33B20, 33C05, 11S80.

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