gives the HurwitzLerch transcendent .


  • 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.
Introduced in 2008