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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)

See also

  • intc — integral along a straight path in the complex plan
  • integrate — integration of an expression by quadrature

History

VersionDescription
2024.0.0 Default abserr and relerr values standardized: 1d-13 and 1d-8 instead of %eps and 1d-12.
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Last updated:
Thu Oct 24 11:13:08 CEST 2024