A Table of Elliptic Integrals: Two Quadratic Factors

DOI10.2307/2152988zbMath0751.33005OpenAlexW4250970156MaRDI QIDQ4012391

B. C. Carlson

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2152988

zbMATH Keywords

elliptic integralscomplex parameterduplication theoremreal domainLanden's transformation

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (6)

An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions ⋮ Toward symbolic integration of elliptic integrals ⋮ Uniform approximations of the first symmetric elliptic integral in terms of elementary functions ⋮ Numerical computation of real or complex elliptic integrals ⋮ Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations ⋮ Reduction theorems for elliptic integrals with the square root of two quadratic factors

Cites Work

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• A table of elliptic integrals of the second kind
• A table of elliptic integrals of the third kind
• A Table of Elliptic Integrals: Cubic Cases
• Elliptic Integrals of the First Kind
• A Table of Elliptic Integrals: One Quadratic Factor

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