A new series expansion for integral powers of arctangent

DOI10.1080/10652460500422486zbMath1103.33001arXivmath/0406337OpenAlexW2117973273MaRDI QIDQ5481671

Michael S. Milgram

Publication date: 10 August 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406337

zbMATH Keywords

infinite seriessummationpowershypergeometricdigammaarctangentpsi

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Elementary functions (26A09) Exponential and trigonometric functions (33B10)

Related Items (4)

MacLaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function ⋮ A new form of the Machin-like formula for pi by iteration with increasing integers ⋮ Euler-like sums via powers of log, arctan and arctanh functions ⋮ Powers of a hypergeometric function

Cites Work

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