New extension of beta, Gauss and confluent hypergeometric functions

Umar Muhammad Abubakar; Muhammad Lawan Kaurangini

doi:10.17776/csj.840774

EN

New extension of beta, Gauss and confluent hypergeometric functions

Abstract

There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important properties. The new extended Beta function has symmetric property, integral representations, Mellin transform, inverse Mellin transform and statistical properties like Beta distribution, mean, variance, moment and cumulative distribution which ware also presented. Finally, the new extended Gauss and Confluent Hypergeometric functions with their propertied were introduced and presented.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Umar Muhammad Abubakar ^*
0000-0003-3935-4829
Nigeria

Muhammad Lawan Kaurangini
0000-0001-9144-9433
Nigeria

Publication Date

September 24, 2021

Submission Date

December 14, 2020

Acceptance Date

May 27, 2021

Published in Issue

Year 2021 Volume: 42 Number: 3

DOI

https://doi.org/10.17776/csj.840774

IZ

https://izlik.org/JA64ZX48SB

Cite

RIS / Bibtex

APA

Abubakar, U. M., & Kaurangini, M. L. (2021). New extension of beta, Gauss and confluent hypergeometric functions. Cumhuriyet Science Journal, 42(3), 663-676. https://doi.org/10.17776/csj.840774

Cited By

Some Results on the v-Analogue of Gamma Function

Earthline Journal of Mathematical Sciences

https://doi.org/10.34198/ejms.10122.109123

Öz

New extension of beta, Gauss and confluent hypergeometric functions

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Some Results on the v-Analogue of Gamma Function