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Gauss Hypergeometric Function

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16 Sep 2008 (Updated )

Gauss hypergeometric function for real z, z<1

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Description

Computes the Gauss hypergeometric function 2F1(a,b;c;z) and its derivative for real z, z<1 by integrating the defining differential equation using the Matlab differential equation solver ode15i.

If 2F1 is to be evaluated for many different z for constant parameters a, b and c, it is suggested to call the function only once and use the output to create a piecewise polynomial approximation of 2F1.

Acknowledgements

This file inspired Generation Of Random Variates.

MATLAB release MATLAB 7.3 (R2006b)
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23 Aug 2013 Keah Lim  
22 May 2012 SEBASTIAN  

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