hurwitz_zeta( z , a )

The Hurwitz zeta function of z in SageMath. Defined by

\[ \zeta (z,a) = \sum_{k=0}^\infty \frac{ 1 }{ (k+a)^z } \]

Related to zeta by \( \zeta (z,1) = \zeta (z) \).

Plot on the real axis:

Series expansion about the origin:

Special values:

Related functions:   zeta

Function category: zeta functions sagemath-docs