On ratio asymptotics for general polynomials

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Abstract

In this paper some characterizations of the ratio asymptotics for general polynomials are given. These results are extensions and improvements of the ratio asymptotics for orthogonal polynomials and are applicable to the ratio asymptotics for polynomials with disturbed nodes.

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Project 19971089 Supported by National Natural Science Foundation of China.

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Current address: Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, People's Republic of China.