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

M. L. Kaurangini; M. P. Chaudhary; U. M. Abubakar; I. O. Kiymaz; E. Ata

doi:https://doi.org/10.56827/JRSMMS.2023.1101.2

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

Volume 11, Issue 1 Pages 17-42 December 30, 2023 121 downloads

Article overview

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 functionBeta functionFox-Wright functionMellin transform.

AMS Subject Classification

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

Reference information

How to Cite

M. L. Kaurangini, M. P. Chaudhary, U. M. Abubakar, I. O. Kiymaz, E. Ata (2023). ON SOME EXTENDED SPECIAL FUNCTIONS WITH THE BI-FOX-WRIGHT FUNCTION KERNEL. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 11(1), 17-42.

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