Keywords
Infinite dimensional matrix, Macmahon's master theorem
Abstract
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.
Notes
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Graduation Date
2004
Semester
Spring
Advisor
Martin, Heath
Degree
Master of Science (M.S.)
College
College of Arts and Sciences
Department
Mathematics
Degree Program
Mathematics
Format
application/pdf
Identifier
CFE0000032
URL
http://purl.fcla.edu/fcla/etd/CFE0000032
Language
English
Release Date
May 2004
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
Subjects
Arts and Sciences -- Dissertations, Academic; Dissertations, Academic -- Arts and Sciences
STARS Citation
Wong, Vivian Lola, "Macmahon's Master Theorem And Infinite Dimensional Matrix Inversion" (2004). Electronic Theses and Dissertations. 122.
https://stars.library.ucf.edu/etd/122