대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권4호
  • /
  • Pages.779-790
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  • 2016
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME INTEGRAL TRANSFORMS INVOLVING EXTENDED GENERALIZED GAUSS HYPERGEOMETRIC FUNCTIONS

  • Choi, Junesang (Department of Mathematics Dongguk University) ;
  • Kachhia, Krunal B. (Department of Mathematical Sciences Faculty of Applied Sciences Charotar University of Science and Technology (CHARUSAT)) ;
  • Prajapati, Jyotindra C. (Department of Mathematics Faculty of Technology and Engineering Marwadi Education Foundation Group of Institutions (MEFGI)) ;
  • Purohit, Sunil Dutt (Department of HEAS (Mathematics) Rajasthan Technical University)
  • 투고 : 2015.12.17
  • 발행 : 2016.10.31
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초록

Using the extended generalized integral transform given by Luo et al. [6], we introduce some new generalized integral transforms to investigate such their (potentially) useful properties as inversion formulas and Parseval-Goldstein type relations. Classical integral transforms including (for example) Laplace, Stieltjes, and Widder-Potential transforms are seen to follow as special cases of the newly-introduced integral transforms.

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참고문헌

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피인용 문헌

  1. Some generating functions and properties of extended second Appell function vol.37, pp.1, 2017, https://doi.org/10.5269/bspm.v37i1.30725