Research Article

Integral Transforms for the New Generalized Beta Function

Number: 28 May 7, 2019
  • Ahmed Ali Al-gonah *
  • Waleed Khadher Mohammed
EN

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

  1. 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
  2. T.R. Prabhakar, A singular integral equation with a Generalized Mittag-Leffler Function in the Kernel}, Yokohama Mathematical Journal, 19 (1971), 7-15.
  3. E. Özergin, Some properties of hypergeometric functions}, PhD dissertation, Eastern Mediterranean University (2011), North Cyprus, Turkey.
  4. 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.
  5. M. A. Chaudhry, S. M. Zubair, \emph{Generalized incomplete gamma functions with applications}, Journal of Computational and Applied Mathematics, 55 (1994), 99-124.
  6. 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.
  7. P. I. Pucheta, A new extended beta function, International Journal of Mathematics And its Applications, 5 (3-c) (2017), 255-260.
  8. 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

Authors

Ahmed Ali Al-gonah * This is me
Yemen

Waleed Khadher Mohammed This is me
Yemen

Publication Date

May 7, 2019

Submission Date

October 8, 2018

Acceptance Date

August 26, 2019

Published in Issue

Year 2019 Number: 28

APA
Al-gonah, A. A., & Mohammed, W. K. (2019). Integral Transforms for the New Generalized Beta Function. Journal of New Theory, 28, 53-61. https://izlik.org/JA34XG53CR
AMA
1.Al-gonah AA, Mohammed WK. Integral Transforms for the New Generalized Beta Function. JNT. 2019;(28):53-61. https://izlik.org/JA34XG53CR
Chicago
Al-gonah, Ahmed Ali, and Waleed Khadher Mohammed. 2019. “Integral Transforms for the New Generalized Beta Function”. Journal of New Theory, nos. 28: 53-61. https://izlik.org/JA34XG53CR.
EndNote
Al-gonah AA, Mohammed WK (May 1, 2019) Integral Transforms for the New Generalized Beta Function. Journal of New Theory 28 53–61.
IEEE
[1]A. A. Al-gonah and W. K. Mohammed, “Integral Transforms for the New Generalized Beta Function”, JNT, no. 28, pp. 53–61, May 2019, [Online]. Available: https://izlik.org/JA34XG53CR
ISNAD
Al-gonah, Ahmed Ali - Mohammed, Waleed Khadher. “Integral Transforms for the New Generalized Beta Function”. Journal of New Theory. 28 (May 1, 2019): 53-61. https://izlik.org/JA34XG53CR.
JAMA
1.Al-gonah AA, Mohammed WK. Integral Transforms for the New Generalized Beta Function. JNT. 2019;:53–61.
MLA
Al-gonah, Ahmed Ali, and Waleed Khadher Mohammed. “Integral Transforms for the New Generalized Beta Function”. Journal of New Theory, no. 28, May 2019, pp. 53-61, https://izlik.org/JA34XG53CR.
Vancouver
1.Ahmed Ali Al-gonah, Waleed Khadher Mohammed. Integral Transforms for the New Generalized Beta Function. JNT [Internet]. 2019 May 1;(28):53-61. Available from: https://izlik.org/JA34XG53CR

 

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