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CERTAIN INTEGRALS ASSOCIATED WITH GENERALIZED MITTAG-LEFFLER FUNCTION

  • Agarwal, Praveen ;
  • Choi, Junesang ;
  • Jain, Shilpi ;
  • Rashidi, Mohammad Mehdi
  • Received : 2015.12.26
  • Published : 2017.01.31

Abstract

The main objective of this paper is to establish certain unified integral formula involving the product of the generalized Mittag-Leffler type function $E^{({\gamma}_j),(l_j)}_{({\rho}_j),{\lambda}}[z_1,{\ldots},z_r]$ and the Srivastava's polynomials $S^m_n[x]$. We also show how the main result here is general by demonstrating some interesting special cases.

Keywords

Gamma function;Srivastava polynomials;Hermite polynomials;Laguerre polynomials;generalized Mittag-Leffler type functions;Lauricella's multiple hypergeometric series;Psi (or Digamma) function ${\psi}(z)$

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