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Abel equation
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<p>The Abel equation, named after <a href="/facts/Niels_Henrik_Abel/6kMfdRkT">Niels Henrik Abel</a>, is a type of <a href="/facts/Functional_equation/4ovU4CAt">functional equation</a> of the form </p> f ( h ( x ) ) = h ( x + 1 ) {\displaystyle f(h(x))=h(x+1)} <p>or </p> α ( f ( x ) ) = α ( x ) + 1 {\displaystyle \alpha (f(x))=\alpha (x)+1} . <p>The forms are equivalent when α is <a href="/facts/Invertible_function/Tg5nnXlu">invertible</a>. h or α control the <a href="/facts/Iterated_function/Vzsx64An">iteration</a> of f. </p>