Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 1 1 2013 11 01 New Results Involving a Class of Generalized Hurwitz-Lerch Zeta Functions and Their Applications 26 35 EN H. M. Srivastava Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada Min-Jie Luo R. K. Raina TJANT2013117 10.12691/tjant-1-1-7 2013 10 15 2013 10 30 2013 11 01 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.