Abstract.
The object under consideration is the system of orthonormal polynomials of the second kind which corresponds to ultraspherical weight function on the unit circle. We obtain a uniform asymptotic representation for such polynomials in the closed unit disk as well as two-sided bounds on the unit circle.
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October 24, 1996. Date revised: April 10, 1997.
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Golinskii, L. Uniform Asymptotics for Second-Kind Ultraspherical Polynomials on the Unit Circle. Constr. Approx. 14, 599–608 (1998). https://doi.org/10.1007/s003659900092
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DOI: https://doi.org/10.1007/s003659900092