On the functional equation f(x)g(y) = p(s+y)q(x/y)

DOI10.1007/BF01836000zbMath0326.39008MaRDI QIDQ1225775

John A. Baker

Publication date: 1976

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136613

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) General theory of functional equations and inequalities (39B05)

Related Items (8)

Generalized Pexider difference equations ⋮ The Lukacs-Olkin-Rubin theorem on symmetric cones without invariance of the ``quotient ⋮ Poisson's remarkable calculation - a method or a trick? ⋮ Regularization and general methods in the theory of functional equations ⋮ Remark to a paper by J. A. Baker ⋮ A functional equation and its application to the characterization of gamma distributions ⋮ Multiplicative type functional equations arising from characterization problems ⋮ A Matsumoto-Yor characterization for Kummer and Wishart random matrices

Cites Work

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• On the functional equation \(f(x)g(y) = \prod\limits_{i=1}^n h_i (a_i x + b_i y)\)
• Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups
• A General Functional Equation
• On Mikusiński's functional equation
• A Characterization of the Gamma Distribution
• Regularity properties of functional equations

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