On the higher derivatives of the inverse tangent function

10 Dec 2017  ·  Boutiche Mohamed Amine, Rahmani Mourad ·

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. read more

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Classical Analysis and ODEs