logGamma¶

Evaluates the logarithm of the absolute value of the gamma function \(\log |\Gamma(x)|\).

Synopsis¶

logGamma (x)

Required Arguments¶

float x (Input): Point at which the logarithm of the absolute value of the gamma function is to be evaluated.

Return Value¶

The value of the logarithm of gamma function, \(\log |\Gamma(x)|\).

Description¶

The logarithm of the absolute value of the gamma function \(\log |\Gamma(x)|\) is computed.

Figure 9.14 — Plot of \(\log |\Gamma(x)|\)

Example¶

In this example, \(\log |\Gamma(3.5)|\) is computed and printed.

from __future__ import print_function
from numpy import *
from pyimsl.math.logGamma import logGamma

x = 3.5
ans = logGamma(x)
print("logGamma(%f) = %f" % (x, ans))

Output¶

logGamma(3.500000) = 1.200974

Warning Errors¶

IMSL_NEAR_NEG_INT_WARN The result is accurate to less than one-half precision because x is too close to a negative integer.

Fatal Errors¶

`IMSL_NEGATIVE_INTEGER`	The argument for the function cannot be a negative integer.
`IMSL_NEAR_NEG_INT_FATAL`	The argument for the function is too close to a negative integer.
`IMSL_LARGE_ABS_ARG_OVERFLOW`	\|x\| must not be so large that the result overflows.