Title of article
On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters
Author/Authors
Mart??nez-Finkelshtein، نويسنده , , Andrei and Mart??nez-Gonz?lez، نويسنده , , Pedro and Orive، نويسنده , , Ram?n، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
11
From page
477
To page
487
Abstract
We study the asymptotic zero distribution of Laguerre Ln(αn) and generalized Bessel Bn(αn) polynomials with the parameter αn varying in such a way that the limit of αn/n exists. Our approach is based on a non-hermitian orthogonality satisfied by these sequences of polynomials. In the cases that remain open we formulate the corresponding conjectures.
Keywords
Logarithmic potential , Equilibrium measure , Laguerre polynomials , Bessel polynomials , Weak zero asymptotics , Non-hermitian orthogonality
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2001
Journal title
Journal of Computational and Applied Mathematics
Record number
1551484
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