Incomplete Exponential and Hypergeometric Functions with Applications to the Non Central χ2-Distribution

DOI10.1081/STA-200052154zbMath1124.33003OpenAlexW2115729635MaRDI QIDQ4678831

Asghar Qadir, M. Aslam Chaudhry

Publication date: 23 May 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-200052154

zbMATH Keywords

Bessel functionsgeneralized hypergeometric functionscumulative distribution functionnon-central chi-square distributions

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Other special functions (33E99) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (8)

Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions ⋮ The incomplete Pochhammer symbols and their applications to hypergeometric and related functions ⋮ On the integral operators pertaining to a family of incomplete \(I\)-functions ⋮ Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications ⋮ The generalization of special functions ⋮ Optimization incentive and relative riskiness in experimental stag-hunt games ⋮ Unnamed Item ⋮ The incomplete exponential \(_p R_p(\alpha,\beta;z)\) function with applications

Cites Work

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• Another Derivation of the Non-Central Chi-Square Distribution
• Reductions of a generalized incomplete gamma function, related Kampé de Fériet functions, and incomplete Weber integrals

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