Speaker : Prof. Mourad Ismail (University of Central Florida) Title : The $q$-Normal Distribution and $q$-Hermite polynomials Time : 2019-09-24 (Tue) 15:00 - 16:00 Place : Seminar Room 722, Institute of Mathematics (NTU Campus) Abstract: Rogers in 1893-95 introduced what is now called continuous $q$-Hermite polynomials polynomials. Their weight function was first found in 1972 and is indeed a $q$-analogue of the normal distribution. We discuss some of the properties and applications of $q$-Hermite polynomials and the $q$-normal distribution including the solution and a generalization of the Deng-Yang conjecture.