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Closed Form Solutions of Linear Difference Equations

Title: Closed Form Solutions of Linear Difference Equations.
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Name(s): Cha, Yongjae, author
Van Hoeij, Mark, professor directing thesis
Van Engelen, Robert A., university representative
Agashe, Amod, committee member
Aldrovandi, Ettore, committee member
Aluffi, Paolo, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2011
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: 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.
Identifier: FSU_migr_etd-3960 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Spring Semester, 2011.
Date of Defense: December 7, 2010.
Keywords: Computational Algebra, Difference Equations, Symbolic Computation
Bibliography Note: Includes bibliographical references.
Advisory Committee: Mark van Hoeij, Professor Directing Thesis; Robert A. van Engelen, University Representative; Amod Agashe, Committee Member; Ettore Aldrovandi, Committee Member; Paolo Aluffi, Committee Member.
Subject(s): Mathematics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_etd-3960
Owner Institution: FSU

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Cha, Y. (2011). Closed Form Solutions of Linear Difference Equations. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-3960