DirichletEta

DirichletEta[s]

gives the Dirichlet eta function .

Details

  • The Dirichlet eta function is also known as the alternating zeta function.
  • DirichletEta is a mathematical function, suitable for both symbolic and numeric manipulation.
  • For , the Dirichlet eta function is defined as .
  • For certain special arguments, DirichletEta automatically evaluates to exact values.
  • DirichletEta is an entire function with branch cut discontinuities.
  • DirichletEta can be evaluated to arbitrary numerical precision.
  • DirichletEta automatically threads over lists.

Examples

Basic Examples  (2)

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See Also

Zeta  LerchPhi  PolyLog  DirichletL

Introduced in 2014
(10.0)