Recursive computation of derivatives of elliptic functions and of incomplete elliptic integrals
type: Item
instance of: scholarly article
title: Recursive computation of derivatives of elliptic functions and of incomplete elliptic integrals
zbMATH Open document ID: 1329.33029
author: T. Fukushima
published in: Applied Mathematics and Computation
publication date: 2016-01-19T00:00:00Z
Mathematics Subject Classification ID: 33F05
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 33-04
zbMATH DE Number: 6532745
zbMATH Keywords: general elliptic function
zbMATH Keywords: incomplete elliptic integrals
zbMATH Keywords: Jacobian elliptic functions
zbMATH Keywords: recurrence formula
zbMATH Keywords: Weierstrass's \(\wp \) function
describes a project that uses: Mathematica
describes a project that uses: Algorithm 524
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: j.amc.2013.06.008
OpenAlex ID: W2014083943
cites work: Fast Multiple-Precision Evaluation of Elementary Functions
cites work: Efficient Multiple-Precision Evaluation of Elementary Functions
cites work: Algorithm 693: a FORTRAN package for floating-point multiple-precision arithmetic
cites work: Numerical inversion of a general incomplete elliptic integral
cites work: Q5615009
cites work: Q3579593
cites work: Numerical calculation of elliptic integrals and elliptic functions
cites work: Fast computation of complete elliptic integrals and Jacobian elliptic functions
cites work: Precise and fast computation of Jacobian elliptic functions by conditional duplication
cites work: Precise and fast computation of the general complete elliptic integral of the second kind
cites work: Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations
cites work: Precise and fast computation of a general incomplete elliptic integral of third kind by half and double argument transformations
cites work: Fast computation of a general complete elliptic integral of third kind by half and double argument transformations
cites work: Fast computation of incomplete elliptic integral of first kind by half argument transformation
DOI: 10.1016/J.AMC.2013.06.008
description: scientific article; zbMATH DE number 6532745