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http://dx.doi.org/10.4134/CKMS.c150247

CERTAIN INTEGRALS ASSOCIATED WITH GENERALIZED MITTAG-LEFFLER FUNCTION  

Agarwal, Praveen (Department of Mathematics Anand International College of Engineering)
Choi, Junesang (Department of Mathematics Dongguk University)
Jain, Shilpi (Department of Mathematics Poornima College of Engineering)
Rashidi, Mohammad Mehdi (Department of Mechanical Engineering Bu-Ali Sina University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.1, 2017 , pp. 29-38 More about this Journal
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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