The Abel equation, named after Niels Henrik Abel, is a type of functional equation of the form f ( h ( x ) ) = h ( x + 1 ) {\displaystyle f(h(x))=h(x+1)} or α ( f ( x ) ) = α ( x ) + 1 {\displaystyle \alpha (f(x))=\alpha (x)+1} . The forms are equivalent when α is invertible.
The Abel equation, named after Niels Henrik Abel, is a type of functional equation of the form f ( h ( x ) ) = h ( x + 1 ) {\displaystyle f(h(x))=h(x+1)} or α ( f ( x ) ) = α ( x ) + 1 {\displaystyle \alpha (f(x))=\alpha (x)+1} . The forms are equivalent when α is invertible.
Source: Wikipedia "Abel equation" · CC BY-SA 4.0
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