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Fresnel integral

by Bora Ung

 

14 Dec 2007 (Updated 14 Dec 2007)

Computes the Fresnel integral with complex argument "z"

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Description

This function computes the Fresnel integral "FresnelI(z)" with argument "z" either real or complex, and where FresnelI(z) = FresnelC(z) + i*FresnelS(z).
  
  USAGE: [FresnelI] = FresnelI(z, tol)

  INPUT PARAMETERS:
  z = complex argument of Fresnel integral (vector).
  tol = absolute tolerance to evaluate the integral using "quadl"(scalar). default=1.0e-4
  
  REFERENCES:
  [1] A. Erdelyi, Higher Transcendental Functions, Vol.2, McGraw-Hill (1953)
  [2] M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, New York, Dover Publications (1965)

MATLAB release MATLAB 7.4 (R2007a)
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fresnel Bora Ung 22 Oct 2008 09:39:38
integral Bora Ung 22 Oct 2008 09:39:38
argument Bora Ung 22 Oct 2008 09:39:38
real Bora Ung 22 Oct 2008 09:39:38
complex Bora Ung 22 Oct 2008 09:39:38

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