A table of elliptic integrals of the third kind

DOI10.1090/S0025-5718-1988-0942154-7zbMath0647.33001MaRDI QIDQ3791455

B. C. Carlson

Publication date: 1988

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

zbMATH Keywords

elliptic integralsR-functions

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Related Items (12)

An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions ⋮ Analytic auto-differentiable ΛCDM cosmography ⋮ Toward symbolic integration of elliptic integrals ⋮ On the application of extended quasi-likelihood to the clustered data case ⋮ Uniform approximations of the first symmetric elliptic integral in terms of elementary functions ⋮ Numerical computation of real or complex elliptic integrals ⋮ Automatic reduction of elliptic integrals using Carlson's relations ⋮ Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations ⋮ A Table of Elliptic Integrals: Two Quadratic Factors ⋮ Reduction theorems for elliptic integrals with the square root of two quadratic factors ⋮ A Table of Elliptic Integrals: Cubic Cases ⋮ Long-term passive distance-bounded relative motion in the presence of \(J_2\) perturbations

Uses Software

• algorithm 577

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computing elliptic integrals by duplication
• A table of elliptic integrals of the second kind
• Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
• Symmetric Elliptic Integrals of the Third Kind

This page was built for publication: A table of elliptic integrals of the third kind