Abstract:
A new version of the standard series expansion algorithm for calculation of one-center many-particle correlation
integrals is proposed. The performance of this algorithm is considerably increased due to a special order of
computation of auxiliary $W$-integrals using recurrent formulas to express one integral in terms of another integral.
This technique allows one to compute an array of $W$-functions and to retain the numerical accuracy of computations
by evaluating a small number of its components with the use of infinite series. Evaluation of $W$-integrals by infinite
series and extrapolation procedures are also improved.