Title of article
Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs
Author/Authors
Alfaro، نويسنده , , Manuel and Moreno-Balcلzar، نويسنده , , Juan J. and Pérez، نويسنده , , Teresa E. and Piٌar، نويسنده , , Miguel A. and Rezola، نويسنده , , M.Luisa، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
10
From page
141
To page
150
Abstract
Let Qn be the polynomials orthogonal with respect to the Sobolev inner product(f,g)S=∫ fg dμ0+∫ f′g′ dμ1,being (μ0,μ1) a coherent pair where one of the measures is the Hermite measure. The outer relative asymptotics for Qn with respect to Hermite polynomials are found. On the other hand, we consider the Sobolev scaled polynomials and we obtain the Plancherel–Rotach asymptotics for those as well as a consequence about their zeros.
Keywords
Symmetrically coherent pairs , Plancherel–Rotach asymptotics , Hermite polynomials , Asymptotics , Sobolev orthogonal polynomials
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2001
Journal title
Journal of Computational and Applied Mathematics
Record number
1551453
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