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- W175261034 abstract "In this work we study the Plancherel-Rotach type asymptotics for Stieltjes-Wigert orthogonal polynomials with complex scaling. The main term of the asymptotics contains Ramanujan function $A_{q}(z)$ for the scaling parameter on the vertical line $Re(s)=2$, while the main term of the asymptotics involves the theta functions for the scaling parameter in the strip $0<Re(s)<2$. In the latter case the number theoretical property of the scaling parameter completely determines the order of the error term. $ $ These asymptotic formulas may provide some insights to some new random matrix model and also add a new link between special functions and number theory." @default.
- W175261034 created "2016-06-24" @default.
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- W175261034 date "2006-12-02" @default.
- W175261034 modified "2023-10-14" @default.
- W175261034 title "Plancherel-Rotach Asymptotics for Stieltjes-Wigert Orthogonal Polynomials with Complex Scaling" @default.
- W175261034 hasPublicationYear "2006" @default.
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