Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CERTAIN FRACTIONAL INTEGRALS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

  • Agarwal, Praveen (Department of Mathematics Anand International College of Engineering) ;
  • Chand, Mehar (Department of Applied Sciences Guru Kashi University) ;
  • Choi, Junesang (Department of Mathematics Dongguk University) ;
  • Singh, Gurmej (Department of Mathematics Mata Sahib Kaur Girls College)
  • Received : 2017.02.19
  • Accepted : 2017.03.28
  • Published : 2018.04.30
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Abstract

We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

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References

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