A fast and simple algorithm for the computation of the Lerch transcendent

Article; Early Access

关键词: TRANSFORMATION;   

DOI  :  10.1007/s11075-023-01637-3

来源: SCIE

【 摘 要 】

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.

【 授权许可】

Free