期刊文献+

Orthogonal Laurent Polynomials and Their Zeros

Laurent多项式及其零点(英文)
下载PDF
导出
摘要 In this note, we investigate the necessity for the measure dψ being a strong distribution, which is associated with the coefficients of the recurrence relation satisfied by the orthogonal Laurent polynomials. We also give out a representation of the greatest zeros of orthogonal Laurent polynomials in the case of dψ being a strong distribution. 本文给出了测度dψ为强分布的一个必要条件,并得到了dψ为强分布时的Laurent多项式最大零点的一个表示。
作者 周恒 王仁宏
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第1期19-22,共4页 数学研究与评论(英文版)
基金 NNSF of China (10271022, 60373093, 69973010) the NSF of Guangdong Province (021755)
关键词 orthogonal Laurent polynomials quadrature rule zeros of orthogonal Laurent polynomials. Laurent多项式 求积公式 Laurent多项式的零点
  • 相关文献

参考文献8

  • 1DIMITROV D K,RANGA A Sir.Monotonicity of zeros of orthogonal Laurent polynomials[J],Methods Appl.Anal.,2002,9:1-11.
  • 2JONES W B,THRON W J.Orthogonal Laurent polynomials and Gaussian quadrature,in:"Quantum Mechanics in Mathematics,Chemistry,and Physics,"[C].(K.E.Gustafson and W.P.Reinhardt,Eds.) pp.449-455,Plenum Press,New York,1981.
  • 3RANGA A Sir,WALTER V A.Blumenthal's theorem for Laurent orthogonal polynomials[J].J.Approx.Theory.,2002,117:255-278.
  • 4ZHEDANOV A.Biorthogonal rational functions and the generalized eigenvalue problem[J].J.Approx.Theory.,1999,101:303-329.
  • 5FREUD G.On the greatest zero ofan orthogonal polynomial[J],J.Approx.Theory.,1986,46:16-24.
  • 6JONES W B,THRON W J,WAADELAND H.A strong Stieltjes moment problem[J].Trans.Amer.Math.Soc.,1980,261:503-528.
  • 7SZEGO G.Orthogonal Polynomials,4th ed.[M].Amer.Math.Soc.Coll.Publ.,Vol.23,Providence,RI,1975.
  • 8WANG Ren-hong,ZHOU Heng.Chebyshev's maximum principle in several variables[J].J.Approx.Theory.,2003,123:276-279.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部