A comparative study of functional equations characterising sine and cosine

DOI10.1007/BF02188169zbMath0607.39004MaRDI QIDQ1085351

J. C. Parnami, Harkrishan L.Vasudeva

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/137139

zbMATH Keywords

continuous solutionscosinesinefunctional equations in the complex domainsets of zeros of the solutions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Cites Work

• Unnamed Item
• Characterization of the Sine and Cosine
• On the functional equation $f(x+y)f(x-y)=f^2(x)-f^2 (y)$
• On some functional equations in Banach spaces
• A Functional Equation Characterising the Sine
• On a Sine Functional Equation
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• Continuous Solutions of the Functional Equation f(x + y) + f(x - y) = 2f (x)f(y)

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