Some general Hurwitz-Lerch type Zeta functions associated with the Srivastava-Daoust multiple hypergeometric functions

DOI10.23952/JNVA.6.2022.4.01OpenAlexW4312804033MaRDI QIDQ5052601

Hemant Kumar, R. C. Singh Chandel, Hari M. Srivastava

Publication date: 25 November 2022

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.6.2022.4.01

zbMATH Keywords

Riemann zeta functionKampé de Fériet functionsDirichlet-type seriesHurwitz-Lerch type zeta functionsSrivastava-Daoust series

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

• Generalized multivariable Cauchy residue theorem and non-zero zeros of multivariable and multiparameters generalized Mittag-Leffler functions
• A note on the convergence of certain families of multiple hypergeometric series
• Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations
• A new integral transform associated with the \(\lambda \)-extended Hurwitz-Lerch zeta function
• Further results involving a class of generalized Hurwitz-Lerch zeta functions
• A class of Hurwitz-Lerch zeta distributions and their applications in reliability
• Integral and computational representations of the extended Hurwitz–Lerch zeta function
• Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions
• An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
• An Integral Representation for the Product of Two Jacobi Polynomials†
• Some series of the zeta and related functions
• Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series
• An extension of the generalized Hurwitz-Lerch Zeta function of two variables
• A generalization of the Hurwitz - Lerch Zeta function
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
• The asymptotic expansion of integral functions defined by Taylor series
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