CERTAIN SUMMATION FORMULAE AND RELATIONS DUE TO DOUBLE SERIES ASSOCIATED WITH THE GENERAL HYPERGEOMETRIC TYPE HURWITZ-LERCH ZETA FUNCTIONS
By
R. C. Singh Chandel1 and Hemant Kumar2
1Former Head, Department of Mathematics, D. V. Postgraduate College Orai, Uttar Pradesh, India-285001
2Department of Mathematics, D.A-V. Postgraduate College Kanpur, Uttar Pradesh, India-208001
Email: palhemant2007@rediffmail.com, rc_chandel@yahoo.com
(Received : February 12, 2023; In format: February 22, 2023; Accepted: February 26, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53117
Abstract
In this paper, we exhibit certain double series associated with general hypergeometric type Hurwitz- Lerch Zeta functions and then derive their summation formulae and relations due to their series and integral identities. We also obtain various known and unknown results in terms of Hurwitz-Lerch Zeta functions and their generating relations.
2020 Mathematical Sciences Classification: 11M35, 33C65.
Keywords and Phrases: Double series associated with general hypergeometric type Hurwitz -Lerch Zeta functions, summation formulae, series and integral identities, Hurwitz-Lerch Zeta generating relations.