Note on the equation \(f(x)g(y)=h(ax+by)k(cx+dy)\) and generalized quadratic polynomials

DOI10.1007/BF02454167zbMath0543.39003MaRDI QIDQ796002

Shigeru Haruki

Publication date: 1984

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

zbMATH Keywords

quadratic polynomialsgeneral complex solutionsset of positive measure

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (1)

The Skitovich-Darmois equation in the classes of continuous and measurable functions

Cites Work

• On the functional equation f(x)g(y)=h(ax+by)k(cx+dy)
• 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 vanishing n-th ordered differences and Hamel bases

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