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lngamma -- logarithm of the Gamma function

Usage:

lngamma x
Inputs:
- x, a real number,
Outputs:
- a real number or a complex number, the logarithm of the Gamma function of x as a real or complex number.

Description

i1 : lngamma 2.1

o1 = .04543773854448518

o1 : RR (of precision 53)

i2 : lngamma(-1.1)

o2 = 2.273651152924463

o2 : RR (of precision 53)

i3 : lngamma(-2.1)

o3 = 1.531713808195086+3.141592653589793*ii

o3 : CC (of precision 53)

i4 : lngamma (-2.000000000000000000000000000000001p120)

o4 = 75.29308515659711265950622174439893398+
     3.141592653589793238462643383279502885*ii

o4 : CC (of precision 120)

See also

Gamma -- Gamma function

Ways to use lngamma:

lngamma(CC)
lngamma(CCi)
lngamma(Number)
lngamma(RR)
lngamma(RRi)

For the programmer

The object lngamma is a method function.

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Macaulay2Doc/functions/Gamma-doc.m2:110:0.