On the functional equation \(f(x+t,y) + f(x-t,y) = f(x,y+t) + f(x,y-t)\)

DOI10.1007/BF01819278zbMath0207.45802OpenAlexW1981457974MaRDI QIDQ2543263

Hiroshi Haruki

Publication date: 1970

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

Full work available at URL: https://eudml.org/doc/136120

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Related Items (9)

On the hyperbolic linear functional equations ⋮ On the general solution of a nonsymmetric partial difference functional equation analogous to the wave equation ⋮ On the functional equation \(\Delta T_1y\Delta T_2yf=0\) ⋮ A reconsideration of the 'three squares' problem ⋮ On trigonometric functional equations of rectangular type ⋮ Einige Bemerkungen über eine Differenzenfunktionalgleichung ⋮ On systems of linear functional equations ⋮ A nonsymmetric partial difference functional equation analogous to the wave equation ⋮ Removability of the wave singularities in the plane

Cites Work

• General and regular solutions of functional equations characterizing harmonic polynomials
• An Analogue of the Wave Equation and Certain Related Functional Equations

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