The called Riemann Zeta function was presented by Euler like the function ,
that is a convergent series where z is a complex number with positive real part. The
calculation of series in the manner is not found in general way in books or other
investigation materials. Usually, you can find particular cases, i.e., basic examples. The present
work goes guided in order to present a recurrent formula for the calculation of these series.
For the understanding of this writing, the reader should have some notions, as they are it:
function analytic, sequential expansion of Taylor, series of Laurent, among others.