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Expansions of Catalan functions
Dissertation   Open access

Expansions of Catalan functions

Daniel Summers
Doctor of Philosophy (Ph.D.), Drexel University
Jun 2019
DOI:
https://doi.org/10.17918/wytx-gx47
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Abstract

Catalan numbers (Mathematics) Combinatorial analysis Mathematics
The k-Schur functions are objects which have been studied extensively by many authors. This thesis discusses a new method of studying these functions through a larger class of symmetric functions, the Catalan Functions. We discuss general techniques for working with Catalan Functions, which classes of symmetric functions are contained in the Catalan Functions, and new results pertaining expansions of these classes.

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