Check out my first combinatorics paper!

q-Binomial Coefficients and the q-Binomial Theorem

Abstract: The binomial theorem and binomial coefficient are found in several areas in mathematics–probability, combinatorics, statistics to name a few. Lesser studied are the q-analogs of the theorem and coefficient. This paper offers an introduction to the q-binomial theorem and the q-binomial coefficient. We discuss their definitions, their extensions, and some examples. The paper ends with an application to the q,t-Catalan Numbers.

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