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Macmahon's Master Theorem And Infinite Dimensional Matrix InversionWong, Vivian Lola 01 January 2004 (has links)
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.
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