The evaluation of a weighted sum of Gauss hypergeometric functions and its connection with Galton-Watson processes

DOI10.1007/s10986-020-09488-4zbMath1471.33005arXiv1904.13176OpenAlexW3045877168MaRDI QIDQ829821

Vladimir V. Vinogradov, Richard B. Paris

Publication date: 6 May 2021

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

Full work available at URL: https://arxiv.org/abs/1904.13176

zbMATH Keywords

Fourier transformcharacteristic functionasymptotic behaviourGalton-Watson processdiscrete distribution with power tailhypergeometric function with large parameterslaw of the total progenyprobability-generating functionscaled Sibuya distribution

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

On two extensions of the canonical Feller-Spitzer distribution ⋮ On lower partial moments for the investment portfolio with variance-gamma distributed returns

Uses Software

• DLMF

Cites Work

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• A generalized Sibuya distribution
• On Poisson-Tweedie mixtures
• DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
• Is the Sibuya distribution a progeny?
• On the weak convergence of superpositions of point processes

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