中山大学学报(自然科学版)2013,Vol.52Issue(2):38-42,5.
一类广义超几何多项式零点的渐近分布
Asymptotic Distribution of the Zeros of a Certain Class of Generalized Hypergeometric Polynomials
摘要
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 + 1Fq[-n,n + a1,n + a2,…,n + aq-1,aq ; z n + b1,n + b2,…,n + bq-1,-n + bq;] Owing to the Enestrom-Kakeya 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Key words
zeros/ generalized hypergeometric polynomials/ asymptotic distribution of zeros分类
数理科学引用本文复制引用
周建荣,覃跃海,刘赛玉,陈剑..一类广义超几何多项式零点的渐近分布[J].中山大学学报(自然科学版),2013,52(2):38-42,5.基金项目
国家自然科学基金资助项目(11201070,11226303) (11201070,11226303)
广东省博士启动基金资助项目(10452800001004255) (10452800001004255)