Hankel Determinants On The Binomial Transform With q-extensions
Name
Shuhan Li
Major
Applied Mathematics and Computational Sciences
Class
2024
About
Senior at DKU majoring in Applied Math and Computational Science: Math Track.
Done research in experimental mathematics and number theory.
Signature Work Project Overview
The main goal of this signature work is to evaluate new expressions for Hankel determinants that involve binomial and q-binomial transform. This will involve finding equivalence relations, polynomial degrees, and leading coefficients for Hankel determinants of certain even indexed Bernoulli polynomials, and also finding how the Hankel determinants changes through the q-binomial transform for certain q-sequences.