On the higher derivatives of the inverse tangent function

Autor:	Boutiche, Mohamed Amine, Rahmani, Mourad
Rok vydání:	2017
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we find explicit formulas for higher order derivatives of the inverse tangent function. More precisely, we study polynomials which are induced from the higher-order derivatives of arctan(x). Successively, we give generating functions, recurrence relations and some particular properties for these polynomials. Connections to Chebyshev, Fibonacci, Lucas and Matching polynomials are established.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.03521 Zobrazit plný text záznamu View this record from Arxiv