Gamma Function and Related Functions
Routines
Factorial Function
Evaluates the factorial, n!
FACEvaluates the binomial coefficient.
BINOMGamma Function
Evaluates the real or complex gamma function, Γ(
x)
GAMMAEvaluates the reciprocal of the real or complex gamma function, 1/ Γ(
x)
GAMREvaluates the real or complex function, ln
ǀγ(
x)
ǀ ALNGAMEvaluates the log abs gamma function and its sign
ALGAMSIncomplete Gamma Function
Evaluates the incomplete gamma function, γ(
a,
x)
GAMIEvaluates the complementary incomplete gamma function, Γ(
a,x)
GAMICEvaluates Tricomi’s incomplete gamma function, γ*(
a,
x)
GAMITPsi Function
Evaluates the real or complex psi function, ψ(
x)
PSIEvaluates the real psi1 function, ψ
1(
x)
PSI1Pochhammer’s Function
Evaluates Pochhammer’s generalized symbol, (
a)
x POCHEvaluates Pochhammer’s symbol starting from the first order
POCH1Beta Function
Evaluates the real or complex beta function, β(
a,
b)
BETAEvaluates the log of the real or complex beta function, ln β(
a,
b)
ALBETAEvaluates the incomplete beta function,
Ix(
a,
b)
BETAI