On the higher derivates of arctan

2017/05/26 by Oliver Deiser, Caroline Lasser, Deiser, Oliver +1
Mathematics · #26A09 #26C05 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1705.09459

openalex publication_date 2017/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

WWe give a rational closed form expression for the higher derivatives of the inverse tangent function and discuss its relation to Chebyshev polynomials, trigonometric expansions and Appell sequences of polynomials.

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