An extension of the generalized Hurwitz-Lerch Zeta function of two variables

DOI10.2298/FIL1701091CzbMath1488.11125OpenAlexW2597032537MaRDI QIDQ5005316

Junesang Choi, Rakesh Kumar Parmar

Publication date: 9 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1701091c

zbMATH Keywords

beta functiongamma functionhypergeometric functionsummation formulaAppell hypergeometric functionGauss's hypergeometric functiongeneralized Hurwitz-Lerch zeta functionMellin-Barnes contour integral

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05) Hurwitz and Lerch zeta functions (11M35)

Related Items (4)

Some general Hurwitz-Lerch type Zeta functions associated with the Srivastava-Daoust multiple hypergeometric functions ⋮ Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu Transform ⋮ Unnamed Item ⋮ Some difference equations for Srivastava's \({\lambda}\)-generalized Hurwitz-Lerch zeta functions with applications

Cites Work

• An extended general Hurwitz-Lerch zeta function as a Mathieu \((\mathbf a, \mathbf{\lambda})\)-series
• Two-sided inequalities for the extended Hurwitz-Lerch zeta function
• Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations
• Integral and computational representations of the extended Hurwitz–Lerch zeta function
• The H-Function
• A generalization of the Hurwitz - Lerch Zeta function
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An extension of the generalized Hurwitz-Lerch Zeta function of two variables