Approximations for Elliptic Integrals
- 1 July 1968
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 22 (103) , 627-634
- https://doi.org/10.2307/2004539
Abstract
Closed-form approximations are derived for the three kinds of incomplete elliptic integrals by using the Padé approximations for the square root. An effective analytical representation of the error is presented. Approximations for the complete integrals based on trapezoidal-type integration formulae are also developed.Keywords
This publication has 2 references indexed in Scilit:
- Simple Formulas for the Evaluation of Some Higher Transcendental FunctionsJournal of Mathematics and Physics, 1955
- Handbook of Elliptic Integrals for Engineers and PhysicistsPublished by Springer Nature ,1954