LogGamma

LogGamma[z]

gives the logarithm of the gamma function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • LogGamma[z] is analytic throughout the complex z plane, except for a single branch cut discontinuity along the negative real axis. Log[Gamma[z]] has a more complex branch cut structure.
  • For certain special arguments, LogGamma automatically evaluates to exact values.
  • LogGamma can be evaluated to arbitrary numerical precision.
  • LogGamma automatically threads over lists.

Examples

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Basic Examples  (2)

Evaluate numerically:

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Evaluate at large arguments:

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Scope  (7)

Generalizations & Extensions  (4)

Applications  (3)

Properties & Relations  (7)

Possible Issues  (2)

Neat Examples  (2)

See Also

Gamma  Factorial

Tutorials

Introduced in 1991
(2.0)