On the functional equation f(x)g(y)=h(ax+by)k(cx+dy)

DOI10.1007/BF02026615zbMath0451.39005OpenAlexW2074664781MaRDI QIDQ1147919

Károly Lajkó

Publication date: 1980

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02026615

zbMATH Keywords

normal distributionindependent random variablesequations for several unknown functions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (4)

Regularization and general methods in the theory of functional equations ⋮ Independent linear forms on connected Abelian groups ⋮ The Skitovich-Darmois equation in the classes of continuous and measurable functions ⋮ Note on the equation \(f(x)g(y)=h(ax+by)k(cx+dy)\) and generalized quadratic polynomials

Cites Work

• On a functional equation which contains a real-valued function of vector variable
• On the functional equation \(f(x)g(y) = \prod\limits_{i=1}^n h_i (a_i x + b_i y)\)
• On single-product functions with rotational symmetry
• A Characterization of the Normal Distribution

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