Symbolic computation of residues at poles and essential singularities

Authors:
Timothy S. Norfolk
Affiliations:
Kent State University, Kent, Ohio
Venue:
ACM SIGSAM Bulletin
Year:
1982

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Abstract

Although most books on the theory of complex variables include a classification of the types of isolated singularities, and the applications of residue theory, very few concern themselves with methods of computing residues. In this paper we derive some results on the calculation of residues at poles, and some special classes of essential singularities, with a view to implementing an algorithm in the VAXIMA computer algebra system.