First and second kind paraorthogonal polynomials and their zeros
نویسندگان
چکیده
منابع مشابه
First and second kind paraorthogonal polynomials and their zeros
Given a probability measure μ with infinite support on the unit circle ∂D = {z : |z| = 1}, we consider a sequence of paraorthogonal polynomials hn(z, λ) vanishing at z = λ where λ ∈ ∂D is fixed. We prove that for any fixed z0 6∈ supp(dμ) distinct from λ, we can find an explicit ρ > 0 independent of n such that either hn or hn+1 (or both) has no zero inside the disk B(z0, ρ), with the possible e...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2007
ISSN: 0021-9045
DOI: 10.1016/j.jat.2006.12.007