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
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https://hkust.zoom.us/j/93678063855 (Passcode: 400379) OR Room 4475 (Lifts 25/26)
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Prof. Chun-Kong LAW
Department of Applied Mathematics, National Sun Yat-sen University/Taiwan
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Department of Mathematics
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Alumni, Faculty and staff, PG students, UG students
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English
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