Asymptotics of derivatives of orthogonal polynomials on the real line
نویسندگان
چکیده
منابع مشابه
Asymptotics of Derivatives of Orthogonal Polynomials on the Real Line
We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L2 norm. 1. Results Let μ be a nite positive Borel measure on [−1, 1] and let {pn}n=0 denote the corresponding orthonormal polynomials, so that ∫...
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ژورنال
عنوان ژورنال: Acta Mathematica Hungarica
سال: 2007
ISSN: 0236-5294,1588-2632
DOI: 10.1007/s10474-007-6183-6