In mathematics Abel function is a special kind of solution of the Abel equations, used to classify them as superfunctions, and formulate conditions of uniqueness.Initially, the equation in the more general form was reported. Then it happens that even in the case of single variable, the equation is not trivial, and requires special analysis, In the case of linear transfer function, the solution can be expressed in compact form Equation of tetration is special case of Abel's equation, with ~f=exp~. In the case of integer argument, the equation is just a recurrent procedure.

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