gives the Lerch transcendent Φ(z,s,a).

Details and OptionsDetails and Options

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • .
  • For , the definition used is , where any term with is excluded.
  • LerchPhi[z,s,a,DoublyInfinite->True] gives the sum .
  • LerchPhi is a generalization of Zeta and PolyLog.
  • For certain special arguments, LerchPhi automatically evaluates to exact values.
  • LerchPhi can be evaluated to arbitrary numerical precision.
  • LerchPhi automatically threads over lists.
Introduced in 1988