LogBarnesG

LogBarnesG[z]

gives the logarithm of the Barnes G-function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • LogBarnesG[z] is analytic throughout the complex z plane.
  • LogBarnesG[z] is analytic throughout the complex z plane and is defined as InterpretationBox[logG, LogBarnesG, Editable -> False, Selectable -> False](z)=(z-1) (TemplateBox[{z}, LogGamma]-z/2)+1/2 z log(2 pi)-TemplateBox[{{-, 2}, z}, PolyGamma2].
  • For certain special arguments, LogBarnesG automatically evaluates to exact values.
  • LogBarnesG can be evaluated to arbitrary numerical precision.
  • LogBarnesG 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  (5)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (2)

See Also

BarnesG  LogGamma  PolyGamma

Introduced in 2008
(7.0)