From invariance under binomial thinning to unification of the Cauchy and the Gołąb-Schinzel-type equations

DOI10.1007/S00025-021-01457-8zbMath1473.39037arXiv2106.08665OpenAlexW3189446887MaRDI QIDQ2044613

Jacek Wesołowski, Karol Baron

Publication date: 10 August 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08665

zbMATH Keywords

Cauchy equationbinomial thinningGołąb-Schinzel equationpower series family

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (1)

Non-periodic solutions of the Gołąb-Schinzel type functional equation

Cites Work

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• Homomorphisms from Functional Equations in Probability
• Throwing stones and collecting bones: Looking for Poisson‐like random measures
• Über die Lösung der Funktionalgleichung f[y + xg(y) = L[h(x), k(y)]]

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