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On certain class of Euler type integrals involving extended and multiparameter Hurwitz Lerch zeta functions. (English) Zbl 1488.11127

Summary: In this paper we establish some new class of Beta integrals for functions involving extended and multi-parameter Hurwitz-Lerch Zeta functions and hypergeometric functions. Our results would generalize and extend the work by S.-D. Lin and H. M. Srivastava [Appl. Math. Comput. 154, No. 3, 725–733 (2004; Zbl 1078.11054)] and M. G. Bin-Saad [Math. J. Okayama Univ. 49, 37–52 (2007; Zbl 1132.11341)]. We also obtain certain known and unknown new results as applications of our main results.

MSC:

11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11M35 Hurwitz and Lerch zeta functions
33B15 Gamma, beta and polygamma functions
33E20 Other functions defined by series and integrals
33E30 Other functions coming from differential, difference and integral equations
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References:

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