호남수학학술지 (Honam Mathematical Journal)

  • 제43권2호
  • /
  • Pages.167-181
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  • 2021
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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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)
  • 투고 : 2019.10.17
  • 심사 : 2020.06.26
  • 발행 : 2021.06.25
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초록

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.

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과제정보

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)

참고문헌

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