Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

  • Agarwal, P. (Department of Mathematics, Anand International College of Engineering, Nonlinear Dynamics Research Center (NDRC), Ajman University, International Center for Basic and Applied Sciences) ;
  • Suthar, D.L. (Department of Mathematics, Wollo University) ;
  • Tadesse, Hagos (Department of Mathematics, Wollo University) ;
  • Habenom, Haile (Department of Mathematics, Wollo University)
  • Received : 2019.10.17
  • Accepted : 2020.06.26
  • Published : 2021.06.25
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Abstract

In this paper, the Saigo's k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.

Keywords

Acknowledgement

Praveen Agarwal was paying thanks to the SERB (project TAR/2018/000001), DST(project DST/INT/DAAD/P-21/2019, and INT/RUS/RFBR/308) and NBHM (DAE)(project 02011/12/2020 NBHM(R.P)/RD II/7867)

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