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arXiv · 1712.03521

On the higher derivatives of the inverse tangent function

Mohamed Amine Boutiche·Mourad Rahmani
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Abstract

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.

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Mohamed Amine Boutiche, Mourad Rahmani. 2017-12-10. On the higher derivatives of the inverse tangent function. https://arxiv.org/abs/1712.03521

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