New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function

DOI10.2298/FIL1708219LzbMath1488.11134OpenAlexW2605077104MaRDI QIDQ5156284

Min-Jie Luo, Ravinder Krishen Raina

Publication date: 15 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1708219l

zbMATH Keywords

Abel's summation formulatwo-sided inequalitiesKrätzel functionMathieu \((\mathbf{a},\lambda)\)-seriesSrivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta function

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Hurwitz and Lerch zeta functions (11M35) Abel, Borel and power series methods (40G10)

Related Items (4)

An application of theory of distributions to the family of \(\lambda \)-generalized gamma function ⋮ Integral representations of the multi-parameter Hurwitz-Lerch zeta function and applications ⋮ Some difference equations for Srivastava's \({\lambda}\)-generalized Hurwitz-Lerch zeta functions with applications ⋮ A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Turán type inequalities for Krätzel functions
• The Krätzel function and evaluation of integrals
• Some further properties of a linear operator associated with the \(\lambda\)-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions
• Some Mathieu-type series associated with the Fox-Wright function
• Gurland's ratio for the gamma function
• Integral and computational representations of the extended Hurwitz–Lerch zeta function
• Integral representation of Mathieu (a, λ)-series
• Integral representation for Neumann series of Bessel functions
• Completely monotonic functions
• Some new results related to a class of generalized Hurwitz zeta function
• Certain subclasses of meromorphically univalent functions defined by a linear operator associated with theλ-generalized Hurwitz–Lerch zeta function

This page was built for publication: New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function