  This paper deals with the computation of the Lerch transcendent by means of
the Gauss-Laguerre formula. An a priori estimate of the quadrature error, that
allows to compute the number of quadrature nodes necessary to achieve an
arbitrary precision, is derived. Exploiting the properties of the
Gauss-Laguerre rule and the error estimate, a truncated approach is also
considered. The algorithm used and its Matlab implementation are reported. The
numerical examples confirm the reliability of this approach.
