Type of Document	Dissertation
Author	Cha, Yongjae
Author's Email Address	ycha@math.fsu.edu
URN	etd-01162011-084947
Title	Closed Form Solutions of Linear Difference Equations
Degree	Doctor of Philosophy
Department	Mathematics, Department of
Advisory Committee	Advisor Name Title Amod Agashe Committee Member Ettore Aldrovandi Committee Member Paolo Aluffi Committee Member Robert A. van Engelen University Representative
Keywords	Computational Algebra Difference Equations Symbolic Computation
Date of Defense	2010-12-07
Availability	unrestricted
Abstract In this thesis we present an algorithm that finds closed form solutions for homogeneous linear recurrence equations. The key idea is transforming an input operator Linp to an operator Lg with known solutions. The main problem of this idea is how to find a solved equation Lg to which Linp can be reduced. To solve this problem, we use local data of a difference operator, that is invariant under the transformation.
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