Lerch transcendent

See examples in LerchPhi.mw

References: Handbook on special functions

Notations

• z,a,v arguments
• n::posint polylog order

Procedures

• LerchPhi2(z,a,v,vmax::numeric:=10,$) quick patch to LerchPhi command for large v>vmax (scales as 1+2/5*a)
• polylogR(z,n) polylog renormalized by adding n!/ln(z)^(n+1) to be finite at z=0,1 (function R_n(z) from the referenced nadbook)
• polylogR_init(n,N::posint,$) initialization