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Basic hypergeometric polynomials with zeros on the unit circle
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DOI：10.1016/j.amc.2013.09.060.png)
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摘要
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The objective in this manuscript is to present two specific sequences of polynomials with elements given in terms of basic hypergeometric polynomials or q-hypergeometric polynomials. It is shown that the zeros of these polynomials are simple and that they lie exactly on the unit circle. (C) 2013 Elsevier Inc. All rights reserved.
Keyword:
Basic hypergeometric polynomials
Zeros
Orthogonal polynomials on the unit circle
Self-inversive polynomials
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