RELATIONS AND IDENTITIES DUE TO DOUBLE SERIES ASSOCIATED WITH GENERAL HURWITZ-LERCH TYPE ZETA FUNCTIONS
By
Hemant Kumar1 and R. C. Singh Chandel2
1Department of Mathematics, D. A-V. Postgraduate College Kanpur, Uttar Pradesh, India-208001
2Former Head of Department of Mathematics, D. V. Postgraduate College Orai, Uttar Pradesh, India-285001
Email: palhemant2007@rediffmail.com, rc_chandel@yahoo.com
(Received: December 20, 2022; In format: December 29, 2022; Revised: January 06, 2023; Accepted: February 02, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53103
Abstract
In this paper, we introduce certain families of double series associated with general Hurwitz-Lerch type Zeta functions and then derive their summation formulae, series and integral identities. Again then using these identities, we obtain various known and unknown results and hypergeometric generating relations.
2020 Mathematical Sciences Classification: 11M35, 33C65.
Keywords and Phrases: Double series associated with general HurwitzLerch type Zeta functions, summation formulae, series and integral identities, hypergeometric generating relations.
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