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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.
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Includes bibliographical references.
Mark van Hoeij, Professor Directing Thesis; Robert A. van Engelen, University Representative; Amod Agashe, Committee Member; Ettore Aldrovandi, Committee Member; Paolo Aluﬃ, Committee Member.
Florida State University
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