HurwitzLerchPhi

HurwitzLerchPhi[z,s,a]

gives the HurwitzLerch transcendent .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The HurwitzLerch transcendent is defined as an analytic continuation of .
  • HurwitzLerchPhi is identical to LerchPhi for .
  • Unlike LerchPhi, HurwitzLerchPhi has singularities at for non-negative integers .
  • HurwitzLerchPhi has branch cut discontinuities in the complex plane running from to , and in the complex plane running from to .
  • For certain special arguments, HurwitzLerchPhi automatically evaluates to exact values.
  • HurwitzLerchPhi can be evaluated to arbitrary numerical precision.
  • HurwitzLerchPhi automatically threads over lists.

Examples

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Basic Examples  (1)

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Scope  (7)

Applications  (1)

Properties & Relations  (2)

Possible Issues  (2)

See Also

HurwitzZeta  LerchPhi  PolyLog

Introduced in 2008
(7.0)