File Exchange

image thumbnail

elfun18

version 1.2.0.4 (18.8 MB) by milan batista
elfun18 is a set of functions that enable computation of various elliptic integrals and functions.

404 Downloads

Updated 22 Oct 2020

View License

elfun18 is a collection of Matlab functions that enable the computation of wide set of Elliptic integrals, Jacobi's elliptic functions and Jacobi's theta functions for real arguments. The set has two levels: higher level functions with matrix arguments and low level functions with scalar arguments. Each function is available either with the modulus k or parameter m as argument. In later case the function name begin with m. Incomplete elliptic integrals are given in Jacobi form, Legendre form and Jacobi's second form (Epsilon function and Lambda functions).
List of functions:
Elliptic integrals:
- Bulirsch's elliptic integrals: cel, cel1, cel2, cel3, el1, el2, el3
- Carlson's elliptic integrals: rc, rd, rf, rg, rj
- Complete elliptic integrals: B, C, D, K, E, Pi
- Complementary complete elliptic integrals: K', E', Pi'
- Jacobi form of elliptic integrals: B, D, E, F, Pi
- Legendre form of elliptic integrals: B, D, E, F, Pi
- Jacobi second form of elliptic integrals: Epsilon, Zeta ( periodic part of Eps) Lambda ( elip. int. of 3rd kind), Omega
function ( periodic part of Lambda)
Jacobian elliptic functions
- am, cd, cn, cs, dc, dn, ds, nc, nd, ns, sc, sd, sn

Inverse Jacobian elliptic functions
- invam, invcd, invcn, invcs, invdc, invdn, invds, invnc, invnd, invns, invsc, invsd, invsn

Jacobi Theta Functions
- theta1, thet12, theta3, theta4, nome, modulus
Neville theta functions
-nthetac, nthetad, nthetan, nthetas
Misc. functions
- agm ( arithmetic geometric mean), cl (lemniscate cos), sl, (lemniscate sin), invcl (inverse lemniscate cos), invsl (inverse lemniscate sin), Lambda0 (Heuman's function) gd (Gudermannian function), invgd (inverse Gudermannian function)

Cite As

milan batista (2021). elfun18 (https://www.mathworks.com/matlabcentral/fileexchange/65915-elfun18), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2016a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Communities

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

elFun18v1_5

elFun18v1_5/elfun18

elFun18v1_5/examples

elFun18v1_5/examples/gui

elFun18v1_5/examples/mechanics

elFun18v1_5/examples/plot

elFun18v1_5/examples/test_accuracy

elFun18v1_5/examples/test_timing

elFun18v1_5/examples/test_verification