A Maple package for transforming series, sequences and functions

Published: 01-01-1991| Version 1 | DOI: 10.17632/4ckjcwsycs.1
J. Grotendorst


Abstract In recent years many powerful sequence transformations, mainly nonlinear methods, for increasing the rate and expanding the domain of the convergence of series (sequences) were designed. The program trans is a revised package of Maple functions for transforming symbolic and numerical series (sequences) as well as functions having formal series expansions. Each sequence transformation is performed using a special recursive algorithm. This approach yields more efficient programs compared to an ... Title of program: TRANS Catalogue Id: ABRN_v2_0 [ACBL] Nature of problem The evaluation of slowly convergent series (sequences), the summation of divergent series and the rational approximation of functions having formal series expansions are problems which occur quite frequently in the mathematical analysis of physical problems. For example, the summation of divergent series is of great importance in the large order perturbation theory of quantum mechanical systems. Versions of this program held in the CPC repository in Mendeley Data ABRN_v1_0; BH; 10.1016/0010-4655(90)90178-4 ABRN_v2_0; TRANS; 10.1016/0010-4655(91)90026-H This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)