Chapter 4: 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