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BarnesG

BarnesG[z]
gives the Barnes G-function G(z).
  • Mathematical function, suitable for both symbolic and numeric manipulation.
  • The Barnes G-function satisfies G(z+1)=Gamma(z) G(z).
  • BarnesG can be evaluated to arbitrary numerical precision.
  • BarnesG automatically threads over lists.
EXAMPLESCLOSE ALL
Scope   (6)
Evaluate numerically:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
Evaluate for complex argument:
Simple exact values are generated automatically:
TraditionalForm formatting:
Applications   (2)
Integral values of BarnesG are related to superfactorial:
BarnesG may be generated by symbolic solvers:
Properties & Relations   (1)
BarnesG satisfies a differential equation:
Neat Examples   (1)
Determinants of Hankel matrices built out of Bell numbers:
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