RIEMANN-HILBERT CHARACTERIZATION FOR MAIN BESSEL POLYNOMIALS WITH VARYING LARGE NEGATIVE PARAMETERS  

作　　者：段萍 杜金元 

机构地区：[1]Department of Mathematics,Wuhan University

出　　处：《Acta Mathematica Scientia》2014年第2期557-567,共11页数学物理学报（B辑英文版）

基　　金：supported by NNSF of China(#11171260);RFDP of Higher Education of China(#20100141110054)

摘　　要：In this article, we establish the Bessel polynomials with varying large negative parameters and discuss their orthogonality based on the generalized Bessel polynomials. By using the Riemann-Hilbert boundary value problem on the positive real axis, we get the Riemann-Hilbert characterization of the main Bessel polynomials with varying large negative parameters.In this article, we establish the Bessel polynomials with varying large negative parameters and discuss their orthogonality based on the generalized Bessel polynomials. By using the Riemann-Hilbert boundary value problem on the positive real axis, we get the Riemann-Hilbert characterization of the main Bessel polynomials with varying large negative parameters.

关 键 词：Generalized Bessel polynomials Bessel polynomials with varying large neg-ative parameters ORTHOGONALITY Riemann-Hilbert boundary value problem Riemann-Hilbert characterization 

分 类 号：O174.14[理学—数学]