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.
机构:
Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R ChinaHenan Polytech Univ, Sch Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China
Chen, Chao-Ping
Lin, Long
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机构:
Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R ChinaHenan Polytech Univ, Sch Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China