Reduction theorems for elliptic integrals with the square root of two quadratic factors

DOI10.1016/S0377-0427(00)00282-XzbMath0954.33001OpenAlexW2066727605MaRDI QIDQ1571009

James FitzSimons, B. C. Carlson

Publication date: 8 February 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00282-x

zbMATH Keywords

elliptic integrals

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75) Exponential and trigonometric functions (33B10) Software, source code, etc. for problems pertaining to approximations and expansions (41-04)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical computation of real or complex elliptic integrals
• Toward symbolic integration of elliptic integrals
• A table of elliptic integrals of the third kind
• A Table of Elliptic Integrals: Two Quadratic Factors
• Elliptic Integrals of the First Kind
• Short Proofs of Three Theorems on Elliptic Integrals
• Symmetric Elliptic Integrals of the Third Kind

This page was built for publication: Reduction theorems for elliptic integrals with the square root of two quadratic factors