Functions of binomial type, mapping groupoids into rings

DOI10.1007/BF01241825zbMath0335.39007OpenAlexW1998741723MaRDI QIDQ1229368

János Aczél

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172515

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (7)

Moment functions on affine groups ⋮ Moment functions of higher rank on polynomial hypergroups ⋮ Functional Equations and Stability Problems on Hypergroups ⋮ Unnamed Item ⋮ Symmetric generalized binomial distributions ⋮ Moment functions on groups ⋮ Moment functions on hypergroup joins

Cites Work

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• Sequences of functions of binomial type
• The matrix equation \(a(x\cdot y)=a(x)+a(x)a(y)+a(y)\)
• Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
• Measurable solutions of quadratic functional equations
• A canonical form for a system of quadratic functional equations
• Équations fonctionnelles liées aux groupes linéaires commutatifs
• On composed Poisson distributions, I
• Derivatives of composite functions

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