Integral transforms and probability distributions involving a generalized hypergeometric function

DOI10.1515/gmj-2021-2105zbMath1482.33003OpenAlexW3185010451MaRDI QIDQ2059043

Junesang Choi, M. Aman, Shrideh K. Q. Al-Omari, Talha Usman, Nabiullah Khan

Publication date: 13 December 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2021-2105

zbMATH Keywords

beta functiongamma functionintegral transformsprobability distributiongeneralized hypergeometric functionhypergeometric functionextended beta functionsextended hypergeometric functionsextended generalized hypergeometric functionsextended probability distributions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Unified integral associated with the generalized \(V\)-function

Cites Work

• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• On a generalized hypergeomet ic distribution
• Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions
• Extende beta, hypergeometric and confluent hypergeometric functions
• Solution of fractional kinetic equation by a class of integral transform of pathway type
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