Epstein Zeta Library 0.5.0
Calculates the Epstein Zeta function
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Functions
gamma.h File Reference

Gamma functions. More...

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Functions

double egf_ugamma (double a, double x)
 calculate the upper incomplete gamma function as in Gautschi.
 
double egf_gammaStar (double a, double x)
 calculate the upper incomplete gamma function as in Gautschi.
 

Detailed Description

Gamma functions.

Calculates the gamma function, the incomplete upper gamma function and the regularized lower incomplete gamma function for evaluations of Crandall's formula.

See also
Walter Gautschi. “A Computational Procedure for Incomplete Gamma Func-257 tions”. In: ACM Trans. Math. Softw. 5 (1979), pp. 466–481

Function Documentation

◆ egf_gammaStar()

double egf_gammaStar ( double a,
double x )

calculate the upper incomplete gamma function as in Gautschi.

Parameters
aexponent of the upper incomplete gamma function.
xlower integral boundary of the upper incomplete gamma function.
Returns
function value of the upper incomplete gamma function.
Parameters
[in]aexponent of the upper incomplete gamma function.
[in]xlower integral boundary of the upper incomplete gamma function.
Returns
function value of the upper incomplete gamma function.

◆ egf_ugamma()

double egf_ugamma ( double a,
double x )

calculate the upper incomplete gamma function as in Gautschi.

Parameters
aexponent of the upper incomplete gamma function.
xlower integral boundary of the upper incomplete gamma function.
Returns
function value of the upper incomplete gamma function.
Parameters
[in]aexponent of the upper incomplete gamma function.
[in]xlower integral boundary of the upper incomplete gamma function.
Returns
function value of the upper incomplete gamma function.