The Ramanujan's \(q\)-extension for the exponential function and statistical distributions

DOI10.1007/BF02014585zbMath0774.62012MaRDI QIDQ1210224

Gang Li, Kai-Tai Fang

Publication date: 25 May 1993

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

momentsgammaexponential function\(q\)-seriescharacteristic functionsPoisson distributionnormalchi-square\(q\)-beta distribution\(q\)-extension\(q\)-uniform distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

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• Some characterizations of q-factorial functions
• Completely monotonic functions associated with the gamma function and its q-analogues
• Ramanujan's Extensions of the Gamma and Beta Functions
• Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
• Theq-Gamma andq-Beta Functions†

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