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arxiv: 1004.1691 · v1 · submitted 2010-04-10 · 🧮 math.CA

On Baxter's difference systems

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keywords baxterdifferencesolutionsasymptoticasymptoticsbelongsbenzaidcase
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We study the asymptotics of solutions of a difference system introduced by Baxter by using the general method for the asymptotic representation of such solutions due to Benzaid and Lutz. Some results of Tauberian type are obtained in the case when the spectral parameter belongs to the unit circle.

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