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mathematical analysis > equation > functional equation

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functional equation  

Definition

  • In mathematics, a functional equation is, in the broadest meaning, an equation in which one or several functions appear as unknowns. So, differential equations and integral equations are functional equations. However, a more restricted meaning is often used, where a functional equation is an equation that relates several values of the same function. For example, the logarithm functions are essentially characterized by the logarithmic functional equation log(xy) = log(x) + log(y).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Functional_equation)

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