Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INTEGRAL REPRESENTATIONS OF THE k-BESSEL'S FUNCTION

  • Received : 2015.04.28
  • Accepted : 2015.12.23
  • Published : 2016.03.25
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Abstract

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.

Keywords

References

  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.

Cited by

  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