Certain New Integral Formulas Involving the Generalized Multi-index Bessel Functions

Dumlupinar M., Duman E. E.

8th International conference Approximation Theory and Special Functions, ATSF 2024, Ankara, Turkey, 4 - 07 September 2024, vol.503 PROMS, pp.323-332, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 503 PROMS
  • Doi Number: 10.1007/978-3-031-93279-3_17
  • City: Ankara
  • Country: Turkey
  • Page Numbers: pp.323-332
  • Keywords: Fox-Wright function, Gamma function, Hypergeometric function, Multi-index Bessel function, Oberhettinger integral formula, Pochhammer symbol
  • Gazi University Affiliated: Yes

Abstract

In the present study, we establish some generalized integral formulas involving product of multi-index Bessel function and other polynomials, which are expressed in terms of the Fox-Wright function. Further, ongiving suitable special values to the coefficient in the main results give many known classical polynomials. Therefore, we observe that our main results can lead to yield numerous other interesting integrals involving various Bessel functions and some known polynomials by suitable specialization of arbitrary parameters in the main theorems.