Extended Gamma, Beta and Hypergeometric Functions: Properties and Applications

Extended gamma, beta and hypergeometric functions

Authors

  • Umar Muhammad Abubakar Department of Mathematics Kano University of Science and Technology, Wudil, Kano State, Nigeria
  • Huzifa Muhammad Tahir Department of Mathematics Kano University of Science and Technology, Wudil, Kano State, Nigeria
  • Isyaku Shu’aibu Abdulmumini Department of Mathematics and Statistics Yobe State University, Damaturu, Yobe State, Nigeria

Keywords:

Gamma function, beta function, hypergeometric functions, pochhammer symbol, beta distribution

Abstract

The main objective of this paper is to study the newly introduced extended gamma function and present some properties of the existing extended beta and hypergeometric functions with their properties such as integral formulas, functional relations, differential formulas, summation formulas, recurrence relations and the Mellin transform. In addition, applications of the extended beta function to statistical distributions have been discussed by providing mean, variance, coefficient of variance, moment generating function, cumulative distribution and reliability function of the new extended beta distribution.

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Published

2021-12-01

How to Cite

1.
Abubakar UM, Tahir HM, Abdulmumini IS. Extended Gamma, Beta and Hypergeometric Functions: Properties and Applications: Extended gamma, beta and hypergeometric functions. JKSA [Internet]. 2021 Dec. 1 [cited 2023 Dec. 7];32(1):18-40. Available from: https://ojs.ksa.org.in/index.php/JKSA/article/view/37

Issue

Vol. 32 No. 1 (2021)

Section

Articles