Integral transforms involving a generalized k-Bessel function

Author:

Khammash Ghazi S.1,Salim Tariq O.2,Aydi Hassen345,Khattab Noor N.2,Park Choonkil6

Affiliation:

1. Department of Mathematics, Al-Aqsa University-Gaza , Gaza Strip , Palestine

2. Department of Mathematics, Al-Azhar University-Gaza , Gaza Strip , Palestine

3. Institut Supérieurd’Informatique et des Techniques de Communication, Université de Sousse , H. Sousse 4000 , Tunisia

4. China Medical University Hospital, China Medical University , Taichung 40402 , Taiwan

5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University , Ga-Rankuwa , South Africa

6. Research Institute for Natural Sciences, Hanyang University , Seoul 04763 , Korea

Abstract

Abstract The main goal of this study was to look into some new integral transformations that are associated with a generalized k k -Bessel function. Integral formulas for the generalized k k -Bessel function have been established using the Laplace transform, Euler transform, Whittaker transform, and k k -transforms. The results presented here have the potential to be helpful, and some special cases of corollaries are explicitly demonstrated.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference36 articles.

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3. R. Diaz and C. Teruel, q,k-Generalized gamma and beta functions, J. Nonlinear Math. Phys. 12 (2005), no. 1, 118–134, DOI: https://doi.org/10.2991/jnmp.2005.12.1.10.

4. C. G. Kokologiannaki, Properties and inequalities of generalized k-gamma, beta and zeta functions, Int. J. Contemp. Math. Sci. 5 (2010), no. 14, 653–660.

5. V. Krasniqi, A limit for the k-gamma and k-beta function, Int. Math. Forum 5 (2010), no. 33, 1613–1617.

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