Differentiation

Low-order differentiation

With respect to s

For zeta(s,a)

General case

Derivatives at zero

Derivatives at negarive integer points

For zeta^{^}(s,a)

With respect to a

For zeta(s,a)

For zeta^{^}(s,a)

Symbolic differentiation

With respect to s

For zeta(s,a)

For zeta^{^}(s,a)

With respect to a

For zeta(s,a)

For zeta^{^}(s,a)

Fractional integro-differentiation

With respect to s

For zeta^{^}(s,a)

With respect to a

For zeta(s,a)