Asymptotic Distribution of the Zeros of Two Classes ofGauss Hypergeometric Polynomials
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Asymptotic Distribution of the Zeros of Two Classes ofGauss Hypergeometric Polynomials
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 50, Issue 2, Pages: 28-30(2011)
作者机构:
1. 佛山科学技术学院理学院数学系,广东,佛山,528000
2. 2 肇庆学院数学与信息科学学院,广东,肇庆,526061
3. 3 南华大学数理学院,湖南,衡阳,421001
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Published:2011,
Published Online:25 March 2011,
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ZHOU Jianrong, HUANG Minhai, WANG Hongyong. Asymptotic Distribution of the Zeros of Two Classes ofGauss Hypergeometric Polynomials. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(2):28-30(2011)
DOI:
ZHOU Jianrong, HUANG Minhai, WANG Hongyong. Asymptotic Distribution of the Zeros of Two Classes ofGauss Hypergeometric Polynomials. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(2):28-30(2011)DOI:
Asymptotic Distribution of the Zeros of Two Classes ofGauss Hypergeometric Polynomials
Some classical analytic methods and techniques are used to analyze the asymptotic distribution of zeros of certain classes of Gauss hypergeometric polynomials:
2
F
1
(-n
a;b;z)and
2
F
1
. Numerical evidence and graphical illustrations of the clustering of zeros on certain curves are generated by Mathematica.
关键词
高斯超几何多项式2F1(-nabFONT-FAMILY: 'Times New Roman'mso-fareast-font-family: 宋体">2FONT-FAMILY: 'Times New Roman''serif'mso-font-kerning: 1.0ptmso-ansi-language: DEmso-fareast-language: ZH-CNmso-bidi-language: AR-SAmso-bidi-font-weight: boldmso-fareast-font-family: 宋体">F1(-nλ-n +μz)的零点零点的渐近分布
Keywords
Gauss hypergeometric polynomialszeros of2F1(-nabzeros ofFONT-FAMILY: 'Times New Roman'mso-fareast-font-family: 宋体">2FONT-FAMILY: 'Times New Roman''serif'mso-font-kerning: 1.0ptmso-ansi-language: DEmso-fareast-language: ZH-CNmso-bidi-language: AR-SAmso-bidi-font-weight: boldmso-fareast-font-family: 宋体">F1(-nλ-n +μz)asymptotic distribution of zeros