数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 557-567.doi: 10.1016/S0252-9602(14)60028-X

• 论文 • 上一篇    下一篇

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

段萍|杜金元   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China; Department of Mathematics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2013-04-22 修回日期:2013-05-14 出版日期:2014-03-20 发布日期:2014-03-20
  • 基金资助:

    This work is supported by NNSF of China (#11171260) and RFDP of Higher Education of China (#20100141110054).

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

 DUAN Ping, DU Jin-Yuan   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China; Department of Mathematics, Wuhan University, Wuhan 430072, China
  • Received:2013-04-22 Revised:2013-05-14 Online:2014-03-20 Published:2014-03-20
  • Supported by:

    This work is supported by NNSF of China (#11171260) and 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.

关键词: Generalized Bessel polynomials, Bessel polynomials with varying large neg-ative parameters, orthogonality, Riemann-Hilbert boundary value problem, Riemann-Hilbert characterization

Abstract:

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.

Key words: Generalized Bessel polynomials, Bessel polynomials with varying large neg-ative parameters, orthogonality, Riemann-Hilbert boundary value problem, Riemann-Hilbert characterization

中图分类号: 

  • 42C05