Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions

DOI10.1080/10652469.2017.1351964zbMath1379.33014arXiv1705.02493OpenAlexW2612514619MaRDI QIDQ4600135

Elena G. Prilepkina, Dmitriĭ Borisovich Karp

Publication date: 5 January 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02493

zbMATH Keywords

inequalitiesgeneralized hypergeometric functionunivalent functionscompletely monotonic functionStieltjes functionabsolutely monotonic functionevaluation of integralsMeijer's \(G\) function

Mathematics Subject Classification ID

Laplace transform (44A10) Integral transforms of special functions (44A20) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (7)

On Meijer's G function G^m,n_p,p for m + n = p ⋮ Hypergeometric functions at unit argument: simple derivation of old and new identities ⋮ Alternative Approach to Miller-Paris Transformations and Their Extensions ⋮ Gauss hypergeometric representations of the Ferrers function of the second kind ⋮ The Fox-Wright function near the singularity and the branch cut ⋮ On generalized Stieltjes functions ⋮ An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions

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