• ← Gamma
• → Pochhammer

LogGamma

log-gamma function (SymPy, WMA)

LogGamma[z]

is the logarithm of the gamma function on the complex number z.

• • LogGamma[3]

LogGamma[z] has different analytical structure than Log[Gamma[z]]

• • LogGamma[-2.+3 I]

• • Log[Gamma[-2.+3 I]]

LogGamma also can be evaluated for large arguments, for which Gamma produces Overflow:

• • LogGamma[1.*^20]

• • Log[Gamma[1.*^20]]