Asymptotic Distribution of the Zeros of a Certain Class of Generalized Hypergeometric Polynomials
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Asymptotic Distribution of the Zeros of a Certain Class of Generalized Hypergeometric Polynomials
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 52, Issue 2, Pages: 38-42(2013)
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. 广东第二师范学院数学系,广东,广州,510303
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Published:2013,
Published Online:25 March 2013,
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ZHOU Jianrong, QIN Yuehai, LIU Saiyu, et al. Asymptotic Distribution of the Zeros of a Certain Class of Generalized Hypergeometric Polynomials. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(2):38-42(2013)
DOI:
ZHOU Jianrong, QIN Yuehai, LIU Saiyu, et al. Asymptotic Distribution of the Zeros of a Certain Class of Generalized Hypergeometric Polynomials. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(2):38-42(2013)DOI:
Asymptotic Distribution of the Zeros of a Certain Class of Generalized Hypergeometric Polynomials
z ]零点的渐近分布。进一步借助于EnestromKakeya 定理,得到了其零点沿不同方向渐近趋于单位圆周的充分条件。
Abstract
The approach to analysis of coefficients is used to analyze the asymptotic distribution of zeros of a certain class of generalized hypergeometric polynomials:
q + 1
F
q
[
-n
n + a
1
2
q-1
q
n + b1
n + b2
…
n + bq-1
-n + bq
z ]Owing to the EnestromKakeya Theorem
some sufficient conditions about clustering of zeros on certain curves along different directions are obtained.
关键词
零点广义超几何多项式零点的渐近分布
Keywords
zerosgeneralized hypergeometric polynomialsasymptotic distribution of zeros