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LogBarnesG

LogBarnesG[z]
gives the logarithm of the Barnes G-function logG(z).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • LogBarnesG[z] is analytic throughout the complex z plane.
  • For certain special arguments, LogBarnesG automatically evaluates to exact values.
  • LogBarnesG can be evaluated to arbitrary numerical precision.
EXAMPLESCLOSE ALL
Basic Examples   (2)
Evaluate numerically:
Evaluate at large arguments:
Evaluate numerically:
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Evaluate at large arguments:
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Scope   (5)
Give exact results for integers:
Evaluate for complex argument:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
TraditionalForm formatting:
Generalizations & Extensions   (1)
LogBarnesG can be applied to a power series:
Applications   (1)
Concavity property of BarnesG:
Properties & Relations   (2)
Use FunctionExpand to expand LogBarnesG in terms of related polygamma functions:
LogBarnesG is the sum of LogGamma functions:
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