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Manuscript Title: REDUCE procedures for the manipulation of generalized power series.
Authors: E. Feldmar, K.S. Kolbig
Program title: POWER SERIES BY REDUCE
Catalogue identifier: AAFE_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 39(1986)267
Programming language: Reduce.
Computer: IBM 3081.
Operating system: MVS/SP.
Keywords: General purpose, Manipulation of (generalized) power Series : multiplication, Raising to a power, Substitution, Elimination of a common Parameter, Division, Reversion, Computer algebra.
Classification: 5.

Nature of problem:
The program provides a tool for computations which are likely to occur in all branches of physics and elsewhere. Based on methods discussed by Zyczkowski some time ago, the paper presents procedures, written in REDUCE, for manipulating generalized power series. These series include ordinary power series as special cases. The procedures handle the multiplication and division of two series, the raising to a power of a series, the substitution of one series into another, the reversion of a series, and the elimination of a common parameter from two series. A procedure is also given for the algorithm proposed by Thacher for a more general inversion problem for ordinary power series.

Solution method:
Mathematical formulae mainly developed by Zyczkowski are converted to procedures in symbolic algebra.

Running time:
The running time depends on the number of series terms which are carried in the computation.