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
Identifier:
Thesis Degree Name:
Master of Science:
M.Sc.
Thesis Degree Level:
Master's
Thesis Degree Discipline:
Pure Mathematics
Parent Collection:
Theses and Dissertations