대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권2호
  • /
  • Pages.523-532
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  • 2019
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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CERTAIN INTEGRATION FORMULAE FOR THE GENERALIZED k-BESSEL FUNCTIONS AND DELEURE HYPER-BESSEL FUNCTION

  • Kim, Yongsup (Department of Mathematics Education Wonkwang University)
  • 투고 : 2018.04.11
  • 심사 : 2018.09.04
  • 발행 : 2019.04.30
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초록

Integrals involving a finite product of the generalized Bessel functions have recently been studied by Choi et al. [2, 3]. Motivated by these results, we establish certain unified integral formulas involving a finite product of the generalized k-Bessel functions. Also, we consider some integral formulas of the (p, q)-extended Bessel functions $J_{{\nu},p,q}(z)$ and the Delerue hyper-Bessel function which are proved in terms of (p, q)-extended generalized hypergeometric functions, and the generalized Wright hypergeometric functions, respectively.

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참고문헌

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  3. J. Choi, D. Kumar, and S. D. Purohit, Integral formulas involving a product of generalized Bessel functions of the first kind, Kyungpook Math. J. 56 (2016), no. 1, 131-136. https://doi.org/10.5666/KMJ.2016.56.1.131
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