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math.CAJun 17, 2004
13
citations (OpenAlex)
authors
  • Michael Milgram
arXiv abstractPDF
paper

A Series Expansion for Integral Powers of Arctangent

arXiv:math/0406337 · doi:10.1080/10652460500422486

Abstract

A new series expansion for the function (arctan(x)/x)^n is developed and some properties of the expansion coefficients are obtained.

11 pages

Cited by in corpus (6)

  • Maclaurin's series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications
  • Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind
  • A generalized series expansion of the arctangent function based on the enhanced midpoint integration
  • On Some Sums of Digamma and Polygamma functions - Version (2017) and Review
  • On Powers of a Hypergeometric Function
  • Efficient computation of pi by the Newton - Raphson iteration and a two-term Machin-like formula
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