Asymptotic Expansions Of Iterates Of Some Classical Functions∗

Abstract

Asymptotic expansions of iterates of five functions, namely, the logarithmic function, the inverse tangent function, the inverse hyperbolic sine function, the hyperbolic tangent function and the Fresnel integral are derived with explicit parameters using a refinement of a 1994 method of Bencherif and Robin.

Cite this paper

@inproceedings{Mavecha2013AsymptoticEO, title={Asymptotic Expansions Of Iterates Of Some Classical Functions∗}, author={Sukrawan Mavecha and Vichian Laohakosol}, year={2013} }