OSW

SIGNATURE WORK
CONFERENCE & EXHIBITION 2024

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.

Signature Work Presentation Video