E. Elizalde, An Asymptotic Expansion for the First Derivative of the Generalized Riemann Zeta Function, Mathematics of Computation, Vol. 47, No. 175 (Jul., 1986), pp. 347-350 ...

Coefficient bounds for functions with a positive real part are used in a rather novel way to find sharp bounds for the first six coefficients of a function which is inverse to a regular normalized ...