A note on integral representation of some generalized zeta functions and its consequences

DOI10.7153/mia-2021-24-17zbMath1471.11236OpenAlexW3135275893MaRDI QIDQ4991569

Khaled Mehrez

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-17

zbMATH Keywords

Dirichlet seriesCahen integralHurwitz-Lerch zeta functionFox-Wright function

Mathematics Subject Classification ID

Integral methods for summability (40C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hurwitz and Lerch zeta functions (11M35)

Related Items (1)

Integral representations of the multi-parameter Hurwitz-Lerch zeta function and applications

Cites Work

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• A probabilistic interpretation of complete monotonicity
• New integral representations for the Fox-Wright functions and its applications
• New properties for several classes of functions related to the Fox-Wright functions
• 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
• Integral form of Le Roy-type hypergeometric function
• The Asymptotic Expansion of the Generalized Hypergeometric Function

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