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Hypergeometric Solutions of Linear Differential Equations with Rational Function Coefficients

Title: Hypergeometric Solutions of Linear Differential Equations with Rational Function Coefficients.
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Name(s): Kunwar, Vijay Jung, author
Van Hoeij, Mark, professor directing thesis
Van Engelen, Robert A., university representative
Agashe, Amod, committee member
Aldrovandi, Ettore, committee member
Hironaka, Eriko, committee member
Petersen, Kathleen, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2014
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: Let L be a second order linear differential equation with rational function coefficients. We want to find a solution (if that exists) of L in terms of 2F1-hypergeometric function. This thesis presents two algorithms to find such solution in the following cases: 1. L has five regular singularities where at least one of them is logarithmic. 2. L has hypergeometric solution of degree three, i.e, L is solvable in terms of 2F1(a,b;c | f) where f is a rational function of degree three.
Identifier: FSU_migr_etd-9021 (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: Summer Semester, 2014.
Date of Defense: June 11, 2014.
Keywords: Belyi maps, Computer Algebra, Dessin d'enfants, Differential Equations, Hypergeometric functions
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; Eriko Hironaka, Committee Member; Kathleen Petersen, Committee Member.
Subject(s): Mathematics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_etd-9021
Owner Institution: FSU

Choose the citation style.
Kunwar, V. J. (2014). Hypergeometric Solutions of Linear Differential Equations with Rational Function Coefficients. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-9021