Hurwitz-Lerch transcendent sum of z^k over (k+a)^s
HurwitzLerchPhi[z, s, a]
HurwitzLerchPhi[2, 3, 1.5]
→ 0.4606957032803012 - 0.26682456226549267*IHurwitzLerchPhi[1, 2, 1 / 4]
→ 17.197329154507102Series[HurwitzLerchPhi[z, 0, 0], {z, 0, 5}]
→ ComplexInfinity