Integral Transforms for the New Generalized Beta Function
Abstract
In this paper, some representation formulas for the generalized Gamma and Beta functions are obtained. Also, certain integral transforms for the generalized Beta function associated with the Wright hypergeometric function are derived.
Keywords
References
- A. A. Al-Gonah, W.K. Mohammed, A new extension of extended Gamma and Beta functions and their properties, Journal of Scientific and Engineering Research, 5 (9) (2018), 257-270
- T.R. Prabhakar, A singular integral equation with a Generalized Mittag-Leffler Function in the Kernel}, Yokohama Mathematical Journal, 19 (1971), 7-15.
- E. Özergin, Some properties of hypergeometric functions}, PhD dissertation, Eastern Mediterranean University (2011), North Cyprus, Turkey.
- M. A. Chaudhry, A. Qadir, M. Rafique, S. M. Zubair, Extension of Euler's Beta Function, Journal of Computational and Applied Mathematics, 78 (1997), 19-32.
- M. A. Chaudhry, S. M. Zubair, \emph{Generalized incomplete gamma functions with applications}, Journal of Computational and Applied Mathematics, 55 (1994), 99-124.
- M. S. Shadab, S. J. Jabee, J. C. Choi, An extended Beta function and its applications, Far East Journal of Mathematical Sciences, 103 (2018), 235-251.
- P. I. Pucheta, A new extended beta function, International Journal of Mathematics And its Applications, 5 (3-c) (2017), 255-260.
- P. Agarwal, Certain properties of the generalized Gauss hypergeometric functions, Applied Mathematics and Information Sciences, 8 (5) (2014), 2315-2320.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
May 7, 2019
Submission Date
October 8, 2018
Acceptance Date
August 26, 2019
Published in Issue
Year 2019 Number: 28