Speaker : Prof. Mourad Ismail (University of Central Florida)
Title : The -Normal Distribution and -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.