Uniform Asymptotics for Second-Kind Ultraspherical Polynomials on the Unit Circle |
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| Authors: | L. Golinskii |
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| Affiliation: | (1) Mathematical Division Institute for Low Temperature Physics and Engineering 47 Lenin Avenue Kharkov 310164 Ukraine golinskii@ilt.kharkov.ua, UA |
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| 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. October 24, 1996. Date revised: April 10, 1997. |
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| Keywords: | . Ops on the unit circle Jacobi polynomials Hypergeometric function. AMS Classification. 42C05. |
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