We employ a difference equation approach to study the Plancherel-Rotach asymptotics of q-orthogonal polynomials about their largest zeros. Our method for q-difference equations is an analogue to the turning point problem for Hermite differential equations. It works well in the toy problems of Stieltjes-Wigert polynomials and q-1-Hermite polynomials. We shall also explore the case when q is variable.



 



The paper is a joint work with Mourad Ismail.

3 Oct 2022
4:00pm - 5:00pm
Where
https://hkust.zoom.us/j/93678063855 (Passcode: 400379) OR Room 4475 (Lifts 25/26)
Speakers/Performers
Prof. Chun-Kong LAW
Department of Applied Mathematics, National Sun Yat-sen University/Taiwan
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
Other Events
22 Nov 2024
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Leveraging Protein Dynamics Memory with Machine Learning to Advance Drug Design: From Antibiotics to Targeted Protein Degradation
Abstract Protein dynamics are fundamental to protein function and encode complex biomolecular mechanisms. Although Markov state models have made it possible to capture long-timescale protein co...
8 Nov 2024
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Some Theorems in the Representation Theory of Classical Lie Groups
Abstract After introducing some basic notions in the representation theory of classical Lie groups, the speaker will explain three results in this theory: the multiplicity one theorem for classical...