Power series for inverse Jacobian elliptic functions

DOI10.1090/S0025-5718-07-02049-2zbMath1195.33232WikidataQ30053424 ScholiaQ30053424MaRDI QIDQ3577014

B. C. Carlson

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Legendre polynomialsymmetric elliptic integralinverse Jacobian elliptic function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (2)

Deterministic and stochastic theory for a resonant triad ⋮ One- and two-sided inequalities for Jacobian elliptic functions and related results

Cites Work

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• Symmetry in c, d, n of Jacobian elliptic functions
• Elliptic functions and applications
• Inverse Elliptic Functions and Legendre Polynomials
• Calculation of the Taylor Series Expansion Coefficients of the Jacobian Elliptic Function sn(x, k)

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