H. M. Srivastava, Min-Jie Luo, R. K. Raina
Turkish Journal of Analysis and Number Theory. 2013, 1(1), 26-35
Publication Date (Web): 02 November 2013DOI:
Abstract: In this paper, we study a certain class of generalized Hurwitz-Lerch zeta functions. We derive several new and useful properties of these generalized Hurwitz-Lerch zeta functions such as (for example) their partial differential equations, new series and Mellin-Barnes type contour integral representations involving Fox’s H-function and a pair of summation formulas. More importantly, by considering their application in Number Theory, we construct a new continuous analogue of Lippert’s Hurwitz measure. Some statistical applications are also given.