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- W2091761209 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." @default.
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- W2091761209 date "2006-01-01" @default.
- W2091761209 modified "2023-10-14" @default.
- W2091761209 title "Chaotic and periodic asymptotics for q-orthogonal polynomials" @default.
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- W2091761209 doi "https://doi.org/10.1155/imrn/2006/83274" @default.
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