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math.NT2022
On the Irreducibility of the Krawtchouck Polynomials
John Cullinan
The Krawtchouck polynomials arise naturally in both coding theory and probability theory and have been studied extensively from these points of view. However, very little is known…
math-ph2022
Towards a Universal Gibbs Constant
John Cullinan, Santanu Antu
In this paper we build on the work of \cite{kaber} where it was shown that the one-parameter family of Gegenbauer Polynomials (GP) exhibit a Gibbs Phenomenon at a jump discontinuit…