Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes


delip

complete and incomplete elliptic integral of first kind

Syntax

r = delip(x, ck)

Arguments

x

real vector/matrix with nonnegative elements

ck

real number between -1 and 1

r

real or complex number (or vector/matrix) with the same size as x

Description

The elliptic integral of the first kind with parameter ck is defined as follow:

integral_0^x dt / sqrt((1 - t^2)(1 - c_k^2 t^2))

Where x is real and positive, ck is in [-1 1].

If x is less than 1 the result is real.

When called with x a vector/matrix r is evaluated for each entry of x.

Examples

delip([1,2], 0.5)
deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
intg(0, 1, f)    // OK since real solution!

See also

  • amell — Jacobi's am function
  • ellipj — Jacobi elliptic functions
  • %k — Jacobi's complete elliptic integral of the first kind (vectorized)
Report an issue
<< dawson Special Functions dlgamma >>

Copyright (c) 2022-2023 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Mon Nov 07 14:58:54 CET 2022