Research on the Two Properties of Zeros of Pollaczek Polynomials

WANG Hongyong; ZHOU Jianrong

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Research on the Two Properties of Zeros of Pollaczek Polynomials

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- Research on the Two Properties of Zeros of Pollaczek Polynomials
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 51, Issue 4, Pages: 38-40(2012)
- 作者机构：
  
  1. 南华大学数理学院,湖南,衡阳,421001
  2. 佛山科学技术学院理学院数学系,广东,佛山,528000
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012，
  
  Published Online：25 July 2012，
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WANG Hongyong, ZHOU Jianrong. Research on the Two Properties of Zeros of Pollaczek Polynomials. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(4):38-40(2012)
DOI：

WANG Hongyong, ZHOU Jianrong. Research on the Two Properties of Zeros of Pollaczek Polynomials. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(4):38-40(2012) DOI：

摘要

主要讨论Pollaczek多项式P

(x;a

b) 的零点关于参数

的单调性

及其与P

(x;a

λ+1

n－1

(x;a

b) and P

λ+1

(x;a

b)三者之间零点的交叉性。

Abstract

The monotonicity of zeros of Pollaczek polynomials P

(x;a

b) about the parameter

and the interlacing properties of zeros of P

(x;a

λ+1

n－1

(x;a

b) and P

λ+1

(x;a

b) are investigated.

关键词

Pollaczek多项式零点交叉正交多项式

Keywords

Pollaczek polynomialsthe interlacing properties of zerosorthogonal polynomials

references

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