GammaLog: Natural Log of the Gamma function

In gajdosandrej/CharFunToolR: Numerical Computation Cumulative Distribution Function and Probability Density Function from Characteristic Function

Natural Log of the Gamma function

Description

GammaLog(z) computes natural Log of the Gamma function valid in the entire complex plane. This routine uses an excellent Lanczos series approximation for the complex ln(Gamma) function.

Usage

GammaLog(z)

Arguments

z	may be complex and of any size.

Value

Natural Log of the Gamma function.

Note

Ver.: 16-Sep-2018 21:15:04 (consistent with Matlab CharFunTool v1.3.0, 24-Jul-2017 10:06:48).

References

C. Lanczos, SIAM JNA 1, 1964. pp. 86-96.
Y. Luke, "The Special ... approximations", 1969 pp. 29-31.
Y. Luke, "Algorithms ... functions", 1977.
J. Spouge, SIAM JNA 31, 1994. pp. 931.
W. Press, "Numerical Recipes".
S. Chang, "Computation of special functions", 1996.

See Also

Other Utility Function: ChebCoefficients(), ChebPoints(), ChebPolyValues(), ChebPoly(), ChebValues(), GammaMultiLog(), GammaMulti(), GammaZX(), Hypergeom1F1MatApprox(), Hypergeom1F1Mat(), Hypergeom2F1Mat(), Hypergeom2F1(), HypergeompFqMat(), InterpChebValues(), hypergeom1F1(), interpBarycentric()

gajdosandrej/CharFunToolR documentation built on June 3, 2024, 7:46 p.m.