On the higher derivatives of the inverse tangent function

DOI10.3906/mat-1712-40zbMath1424.11066arXiv1712.03521OpenAlexW2963181792MaRDI QIDQ5742831

Mourad Rahmani, Mohamed Amine Boutiche

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03521

zbMATH Keywords

Chebyshev polynomialmatching polynomialexplicit formuladerivative polynomialinverse tangent function

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Paths and cycles (05C38) Special sequences and polynomials (11B83) Exponential and trigonometric functions (33B10)

Uses Software

• OPQ

Cites Work

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• Explicit expressions for a family of the Bell polynomials and applications
• On generalized Fibonacci and Lucas polynomials
• Derivatives of tangent function and tangent numbers
• Closed formulas for computing higher-order derivatives of functions involving exponential functions
• On the Hurwitz function for rational arguments
• Derivative polynomials and closed-form higher derivative formulae
• An introduction to matching polynomials
• Determinants and their applications in mathematical physics
• The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas
• Derivative Polynomials for tanh, tan, sech and sec in Explicit Form

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