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Macmahon's Master Theorem And Infinite Dimensional Matrix Inversion

MacMahon'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.

Identiferoai:union.ndltd.org:ucf.edu/oai:stars.library.ucf.edu:etd-1121
Date01 January 2004
CreatorsWong, Vivian Lola
PublisherSTARS
Source SetsUniversity of Central Florida
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceElectronic Theses and Dissertations

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