Use of the generalized Lommel–Wright function in a unified presentation of the Gamma-type functions occurring in diffraction theory and associated probability distributions

DOI10.1080/10652460600586040zbMath1106.33002OpenAlexW1982802080MaRDI QIDQ5478736

Ana Isolina Prieto, Josefina Matera, Hari M. Srivastava

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/10652460600586040

zbMATH Keywords

Wiener-Hopf techniqueProbability density functionSrivastava-Daoust multivariable hypergeometric functionTricomi functionMoment generating functionGamma and incomplete Gamma functionsHazard (or failure) rate functionFox-Wright hypergeometric functionDiffraction theoryGeneralized Lommel-Wright functionMean residual life (or remaining life expectancy) functionSurvival (or reliability) function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Foundations of probability theory (60A99) Generalized hypergeometric series, ({}_pF_q) (33C20)

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A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas

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