호남수학학술지 (Honam Mathematical Journal)

  • 제38권1호
  • /
  • Pages.17-23
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  • 2016
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  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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INTEGRAL REPRESENTATIONS OF THE k-BESSEL'S FUNCTION

  • 투고 : 2015.04.28
  • 심사 : 2015.12.23
  • 발행 : 2016.03.25
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초록

This paper deals with the study of newly defined special function known as k-Bessel's function due to Gehlot [2]. Certain integral representations of k-Bessel's function are investigated. Known integrals of classical Bessel's function are seen to follow as special cases of our main results.

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참고문헌

  1. R. Diaz and E. Pariguan, On hypergeometric functions and Pochhammer k-symbol, Divulgaciones Mathematicas 15(2) (2007), 179-192.
  2. K. S. Gehlot, Differential Equation of k-Bessel's Function and its Properties, Nonl. Anal. Diff. Eq. 2(2) (2014), 61-67.
  3. K. S. Gehlot, Recurrence relations of k-Bessel's function, Thai J. Math. (2015), Accepted.
  4. K. S. Gehlot and S. D. Purohit, Fractional calculus of k-Bessel's function, Acta Univ. Apulensis, Math. Inform. 38 (2014), 273-278.
  5. Earl D. Rainville, Special Functions, The Macmillan Company, New York, 1963.

피인용 문헌

  1. -Bessel Function vol.2018, pp.2314-4785, 2018, https://doi.org/10.1155/2018/5198621
  2. Differential equation and inequalities of the generalized k-Bessel functions vol.2018, pp.1, 2018, https://doi.org/10.1186/s13660-018-1772-1