超几何多项式_3F_2(-n,n+a,b;n+c,-n+d;z)零点的渐近分布(英文)
Asymptotic Distribution of the Zeros of Hypergeometric Polynomials _3F_2(-n,n+a,b;n+c,-n+d;z)
摘要
利用经典的分析方法导出了一类超几何多项式3F2(-n,n+a,b;n+c,-n+d;z)零点的渐近分布.
The main object of this paper is to consider the asymptotic distribution of the zeros of certain classes of 2F3 hypergeometric functions.Classical methods are used to analyze the behavior of the zeros of the hypergeometric polynomials 3F2（-n,n＋a,b;n＋c,-n＋d;z）.
出处
《湘潭大学自然科学学报》
CAS
CSCD
北大核心
2010年第3期5-8,共4页
Natural Science Journal of Xiangtan University
基金
国家自然科学基金项目(10871212)
广东省教育厅科研基金项目(LYM08101)
广东省博士启动基金项目(10452800001004255)
参考文献14
-
1DOMINICI D, DOMINICI K,JORDAAN K. Polynomial solutions of differential-difference equations[J]. Approx Theory,2009[doi: 10. 1016/j. iat. 2009. 05. 0101.
-
2DRIVER K,DUREN P. Zeros of the hypergeometric polynomials F(-- n,b;2b;z) [J]. Indag Math, N S,2000,11(1) :43--51.
-
3DRIVER K,JORDAAN K. Zeros of 3F2(--n,b,c;d,e;z) polynomials[J]. Numer Algorithms,2002,30:323--333.
-
4DRIVER K,JORDAAN K. Asymptotic zero distribution of 3 F2 polynomials[J]. Indag Math, N S , (New Ser. )2003,14:319--327,.
-
5DRIVER K,JORDAAN K. Separation theorems for the zeros of certain hypergeometric polynomialsEJ]. J Compu Appl Math,2007, 199:48--55.
-
6DRIVER K,JORDAAN K. Polya frequency sequences and real zeros of some a Fa polynomials[J]. J Math Anal Appl, 2007,332: 1 045--1 055.
-
7DRIVER K,JORDAAN K, MBUYI N. Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences[J]. Applied Numerical Mathematics,2009,59:2 424--2 429.
-
8DRIVER K,MOLLER M. Zeros of she hypergeometric polynomials F(--n,b; --2n;z) [J]. J Approx Theory,2001,110: 74--87.
-
9HILLE E. Analytic Function Theory, Volume II[M]. New York:Chelsea Publishing Company, 1973.
-
10KATHRYN B,PETER D. Zeros of Hypergeometric Functions[J]. Computational Methods and Function Theory,2001,1:275-- 287.
-
1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.
-
2周建荣,黄民海,王红勇.两类高斯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）,2011,50(2):28-30. 被引量：2
-
3陈昌远,孙东升,陆法林.Hulthén势任意l波束缚态的近似解析解[J].原子与分子物理学报,2008,25(2):392-396. 被引量：2
-
4陆法林,陈昌远,尤源.双环形Hulthén势束缚态的近似解析解[J].物理学报,2013,62(20):20-25.
-
5许艳.渐近于Hermite多项式的双正交系统[J].中国科学：数学,2014,44(4):409-422. 被引量：1
