On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters
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摘要
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.
论文关键词：Laguerre polynomials,Bessel polynomials,Weak zero asymptotics,Non-hermitian orthogonality,Logarithmic potential,Equilibrium measure
论文评审过程：Received 2 December 1999, Revised 11 July 2000, Available online 3 August 2001.
论文官网地址：https://doi.org/10.1016/S0377-0427(00)00654-3
