Clogbeta

Complex logarithm of the beta function of a complex argument

Loading LOADSUB ALL FROM "CGAMMA.HTS"

or LOADSUB FROM "MATHLIB.HTS"

Usage COMPLEX A,B,C

C=FNClogbeta(A,B)

Description

FNClogbeta returns the value of the logarithm of the beta function of the complex values a and b, log[B(a,b)]. B(a,b) is defined as Γ(a)Γ(b)/Γ(a+b) (see Gamma). B(a,b) is only defined for ℜ(a) > 0 and ℜ(b) > 0.

Errors

FNClogbeta causes an HTBasic error if its arguments are not both of type COMPLEX or if the real part of either a or b is negative or zero.

See Also

Beta, Cbeta, Cgamma, Logbeta