Functional equation: Difference between revisions

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In mathematics, a functional equation is a relationship between the values of a function at different arguments.

Any periodic function has a functional equation of the form $f(x+p)=f(x)$ $f(x+p)=f(x)$ where p is the period.
- Examples of periodic functions include trigonometric functions and elliptic functions.
The gamma function has a functional equation relating $\Gamma (z)$ to $\Gamma (z-1)$ .
The Riemann zeta function has a function equation relating the value of $\zeta (s)$ to $\zeta (1-s)$ .

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	In [[mathematics]], a '''functional equation''' is a relationship between the values of a [[function (mathematics)\|function]] at different arguments.		In [[mathematics]], a '''functional equation''' is a relationship between the values of a [[function (mathematics)\|function]] at different arguments.