Evaluation of the upper incomplete gamma function
GAMMA_INCOMPLETE evaluates the upper incomplete gamma function
(incomplete gamma function of the second kind) $\Gamma(a,x)$
at non-negative values of the argument. This function extends the
MATLAB function gammainc to negative values of the parameter a.
SYNOPSIS: fun=gamma_incomplete(x,a)
INPUT x : function argument
a : parameter
OUTPUT fun : a vector of the same length as x; it contains NaN values
at places where elements of x are negative.
REMARKS 1. This function extends the MATLAB function gammainc
to negative values of the parameter a. 2. For positive a this function is equivalent
to the call fun=gamma(a).*gammainc(x,a,'upper');
EXAMPLES
x=0.01:0.01:8;
f=gamma_incomplete(x,1);
plot(x,f);
x=0.001:0.001:.1;
f=gamma_incomplete(x,-2.3);
plot(x,f);
x=0.001:0.001:.2;
f=gamma_incomplete(x,-1);
plot(x,f);
Cite As
Andrei Bejan (2024). Evaluation of the upper incomplete gamma function (https://www.mathworks.com/matlabcentral/fileexchange/29321-evaluation-of-the-upper-incomplete-gamma-function), MATLAB Central File Exchange. Retrieved .
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Acknowledgements
Inspired: Evaluation of the Laplace transform of the Pareto distribution
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Version | Published | Release Notes | |
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1.0.0.0 |