Software for Combinatorial Power Series

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Creator: 

MacFie, Andrew

Date: 

2014

Abstract: 

Generating functions (i.e. power series) have applications throughout enumerative and analytic combinatorics. In this thesis we present Genfunlib, a new Mathematica package containing a selection of implementations of symbolic methods related to generating functions. With Genfunlib one can find the generating functions for regular languages, compute the initial terms of a generating function, convert between generating function equations and recurrences, and find asymptotics. This thesis gives mathematical background, extensive documentation for Genfunlib, and tutorials.

Subject: 

Mathematics

Language: 

English

Publisher: 

Carleton University

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

Pure Mathematics

Parent Collection: 

Theses and Dissertations

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