Infinite summations of hypergeometric type terms by a probabilistic method

DOI10.1007/s41478-017-0028-7zbMath1368.33006OpenAlexW2600647646MaRDI QIDQ2363543

Yanyan Li

Publication date: 20 July 2017

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-017-0028-7

zbMATH Keywords

Meijer \(G\) functionincomplete Gamma functions\(\mathrm{G}(\alpha, h)\) and \(\mathrm{GEEW}(\theta)\) distributionsFox-Wright \(\Psi \) functionWhittaker's \(W\) function

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Multiple sequences and series (40B05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Uses Software

• DLMF

Cites Work

• On families of beta- and generalized gamma-generated distributions and associated inference
• The special functions and their approximations. Vol. I, II
• The gamma exponentiated exponential-Weibull distribution
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