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intl

Cauchy integral

Syntax

[y]=intl(a,b,z0,r,f)

Arguments

z0

a complex number

a, b

two real numbers

r

positive real number

f

"external" function

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


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