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MACMAHON'S MASTER THEOREM AND INFINITE DIMENSIONAL MATRIX INVERSION
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TitleMACMAHON'S MASTER THEOREM AND INFINITE DIMENSIONAL MATRIX INVERSION
AuthorWong, Vivian Lola
KeywordsArts and Sciences -- Dissertations, Academic
Dissertations, Academic -- Arts and Sciences
Infinite dimensional matrix
Macmahon's master theorem
AbstractMacMahon's Master Theorem is an important result in the theory of algebraic combinatorics. It gives a precise connection between coefficients of certain power series defined by linear relations. We give a complete proof of MacMahon's Master Theorem based on MacMahon's original 1960 proof. We also study a specific infinite dimensional matrix inverse due to C. Krattenthaler.
AdviserMartin, Heath
PublisherUniversity of Central Florida
DegreeM.S.
Degree DisciplineDepartment of Mathematics
Degree GrantorArts and Sciences
Degree ProgramMathematics
Graduation Date2004-05-01
TypeMaster's thesis
Access LevelPublic - Allow Worldwide Access
Release Date2004-05-01
RepositoryUniversity Archives
Repository CollectionElectronic Theses and Dissertations
IdentifierCFE0000032
Access Linkhttp://purl.fcla.edu/fcla/etd/CFE0000032

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