1Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada
2Department of Applied Mathematics, Donghua University, Shanghai, People’s Republic of China
3Department of Mathematics, M. P. University of Agriculture and Technology, Rajasthan, India
Turkish Journal of Analysis and Number Theory.
2013,
Vol. 1 No. 1, 26-35
DOI: 10.12691/tjant-1-1-7
Copyright © 2013 Science and Education PublishingCite this paper: H. M. Srivastava, Min-Jie Luo, R. K. Raina. New Results Involving a Class of Generalized Hurwitz-Lerch Zeta Functions and Their Applications.
Turkish Journal of Analysis and Number Theory. 2013; 1(1):26-35. doi: 10.12691/tjant-1-1-7.
Correspondence to: H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada. Email:
harimsri@math.uvic.caAbstract
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.
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