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.

10月3日
4:00pm - 5:00pm
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Prof. Chun-Kong LAW
Department of Applied Mathematics, National Sun Yat-sen University/Taiwan
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IAS / School of Science Joint Lecture - Pushing the Limit of Nonlinear Vibrational Spectroscopy for Molecular Surfaces/Interfaces Studies
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研討會, 演講, 講座
IAS / School of Science Joint Lecture - Leveraging Protein Dynamics Memory with Machine Learning to Advance Drug Design: From Antibiotics to Targeted Protein Degradation
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