Communications of the
Korean Mathematical Society CKMS

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 $\psi(z)$

MSC numbers: Primary 65A05, 33C45; Secondary 44A15