Abstract
We derive Plancherel-Rotach asymptotic expansions for the q−1-Hermite, q-Laguerre, and Stieltjes-Wigert polynomials using a discrete analogue of Laplace's method. The asymptotics in the bulk exhibit chaotic behavior when a certain variable is irrational. In the rational case, the main terms in the asymptotic expansion involve theta functions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
