On extended Hurwitz-Lerch zeta function

DOI10.1016/j.jmaa.2016.11.046zbMath1421.11070OpenAlexW2551818724MaRDI QIDQ730226

Rakesh Kumar Parmar, Min-Jie Luo, Ravinder Krishen Raina

Publication date: 23 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.046

zbMATH Keywords

generating functioncomplete monotonicityAbel's summation formulaextended beta functionextended Hurwitz-Lerch zeta functionLindelöf-Wirtinger expansion

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35)

Related Items (16)

Extensions of beta and related functions ⋮ Extended elliptic-type integrals with associated properties and Turán-type inequalities ⋮ Asymptotic results for families of random variables having power series distributions ⋮ FRACTIONALCALCULUSOPERATORSOFTHEGENERALIZED EXTENDEDMITTAG-LEFFLERFUNCTIONANDRELATED JACOBITRANSFORMS ⋮ On properties and applications of \((p, q)\)-extended \(\tau\)-hypergeometric functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Operators of fractional calculus and associated integral transforms of the \((\mathfrak{r}, \mathfrak{s})\)-extended Bessel-Struve kernel function ⋮ \((p,q)\)-extended Struve function: fractional integrations and application to fractional kinetic equations ⋮ Unnamed Item ⋮ Certain inequalities for the modified Bessel-type function ⋮ On Mathieu-type series for the unified Gaussian hypergeometric functions ⋮ Fractional integration and differentiation of the \((p, q)\)-extended \(\tau\)-hypergeometric function and related Jacobi transforms ⋮ On a new (p,q)-Mathieu-type power series and its applications

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behavior of the Lerch transcendent function
• A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
• Extension of Euler's beta function
• Families of power series distributions, with particular reference to the Lerch family
• 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 class of Hurwitz-Lerch zeta distributions and their applications in reliability
• A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS
• On a Certain Extension of the Hurwitz-Lerch Zeta Function
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• Second Order Differential Equations
• Integral representation for Neumann series of Bessel functions
• A generalization of the Hurwitz - Lerch Zeta function

This page was built for publication: On extended Hurwitz-Lerch zeta function