functional equation

A functional equation is an equation whose unknowns are functionsMathworldPlanetmath.

f(x+y)=f(x)+f(y),f(xy)=f(x)f(y) are examples of such equations. The systematic study of these didn’t begin before the 1960’s, although various mathematicians have been studying them before, including Euler and Cauchy just to mention a few.

Functional equations appear many , for example, the gamma functionDlmfDlmfMathworldPlanetmath and Riemann’s zeta function both satisfy functional equations.

Title functional equation
Canonical name FunctionalEquation
Date of creation 2013-03-22 13:06:53
Last modified on 2013-03-22 13:06:53
Owner jgade (861)
Last modified by jgade (861)
Numerical id 9
Author jgade (861)
Entry type Definition
Classification msc 39B05
Related topic Equation