ArticleOriginal scientific text
Title
Some counterexamples to subexponential growth of orthogonal polynomials
Authors 1
Affiliations
- Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Abstract
We give examples of polynomials p(n) orthonormal with respect to a measure μ on ⨍ such that the sequence {p(n,x)} has exponential lower bound for some points x of supp μ. Moreover, the set of such points is dense in the support of μ.
Keywords
orthogonal polynomials, recurrence formula, subexponential growth
Bibliography
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Pages:
197-206
Main language of publication
English
Received
1995-05-04
Published
1995
Exact and natural sciences