Software for Combinatorial Power Series
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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.
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Copyright © 2014 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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- 2014
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macfie-softwareforcombinatorialpowerseries.pdf | 2023-05-04 | Public | Download |