Certain Identities of a General Class of Hurwitz-Lerch Zeta Function of Two Variables

  • M. A. Pathan Centre for Mathematical and Statistical Sciences, Peechi Campus, Peechi-680653, Kerala, India and Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
  • Hemant Kumar Department of Mathematics, D. A-V. Postgraduate College, Kanpur-208001, U.P., India
  • Roshni Sharma Department of Mathematics, L.N.C.T., Bhopal, M. P., India
Keywords: Appell functions, Hurwitz-Lerch Zeta function, integral representations, identities

Abstract

In this paper, we introduce a generalized double Hurwitz-Lerch Zeta function and then systematically investigate its properties and various integral representations. Further, we show that these results provide certain known as well as new extensions of earlier stated results of generalized Hurwitz-Lerch Zeta functions.

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Published
2022-11-02
How to Cite
Pathan , M. A., Kumar , H., & Sharma , R. (2022). Certain Identities of a General Class of Hurwitz-Lerch Zeta Function of Two Variables. Earthline Journal of Mathematical Sciences, 11(2), 229-247. https://doi.org/10.34198/ejms.11223.229247
Section
Articles