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In mathematics, a functional equation<ref name="rassias"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref><ref name="rassias2"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref><ref name="rassias3"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref><ref name="rassias4"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref> is any equation that specifies a function in implicit form.<ref name="cheng"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref> Often, the equation relates the value of a function (or functions) at some point with its values at other points. For instance, properties of functions can be determined by considering the types of functional equations they satisfy. The term functional equation usually refers to equations that cannot be simply reduced to algebraic equations.


Functional equation sections
Intro  Examples  Solving functional equations  See also  Notes  References   External links   

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Equation::function    First::''x''    Title::location    Example::world    Rassias::several    Press::''f''

In mathematics, a functional equation<ref name="rassias"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref><ref name="rassias2"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref><ref name="rassias3"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref><ref name="rassias4"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref> is any equation that specifies a function in implicit form.<ref name="cheng"> {{#invoke:citation/CS1|citation |CitationClass=book }} </ref> Often, the equation relates the value of a function (or functions) at some point with its values at other points. For instance, properties of functions can be determined by considering the types of functional equations they satisfy. The term functional equation usually refers to equations that cannot be simply reduced to algebraic equations.


Functional equation sections
Intro  Examples  Solving functional equations  See also  Notes  References   External links   

PREVIOUS: IntroNEXT: Examples
<<>>