4.1 Factorial Function

Evaluates the factorial, n! FAC

Evaluates the binomial coefficient. BINOM

4.2 Gamma Function

Evaluates the real or complex gamma function, Γ(x) GAMMA

Evaluates the reciprocal of the real or complex gamma function, 1/ Γ(x) GAMR

Evaluates the real or complex function, ln ǀγ(x)ǀ ALNGAM

Evaluates the log abs gamma function and its sign ALGAMS

4.3 Incomplete Gamma Function

Evaluates the incomplete gamma function, γ(a,x) GAMI

Evaluates the complementary incomplete gamma function, Γ(a,x) GAMIC

Evaluates Tricomi’s incomplete gamma function, γ*(a, x) GAMIT

4.4 Psi Function

Evaluates the real or complex psi function, ψ(x) PSI

Evaluates the real psi1 function, ψ1(x) PSI1

4.5 Pochhammer’s Function

Evaluates Pochhammer’s generalized symbol, (a)x POCH

Evaluates Pochhammer’s symbol starting from the first order POCH1

4.6 Beta Function

Evaluates the real or complex beta function, β(a,b) BETA

Evaluates the log of the real or complex beta function, ln β(a,b) ALBETA

Evaluates the incomplete beta function, Ix(a,b) BETAI