intl

Cauchy integral along a circular arc

Syntax

y = intl(a, b, z0, r, f)
y = intl(a, b, z0, r, f, abserr)
y = intl(a, b, z0, r, f, abserr, relerr)

Arguments

z0: a complex number
a, b: two real numbers
r: positive real number
f: identifier of the function to be integrated (type 13 or 130).
abserr, relerr: real scalars: absolute and relative numerical tolerances. Default values are 1.d-13 and 1d-8.

Description

If f is a complex-valued function, intl(a,b,z0,r,f) computes the integral of f(z)dz along the curve in the complex plane defined by z0 + r.*exp(%i*t) for a<=t<=b .(part of the circle with center z0 and radius r with phase between a and b).

Examples

function y=f(z)
  y = z^(3 + %pi * %i)
endfunction

intl(1, 2, 1+%i, 3, f)

History

Version	Description
2024.0.0	Default `abserr` and `relerr` values standardized: `1d-13` and `1d-8` instead of `%eps` and `1d-12`.