ZEROS

作品数:133被引量:140H指数:6
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相关领域:理学更多>>
相关作者:惠淑荣张国伟薛明志张秀英周恒更多>>
相关机构:东北大学沈阳农业大学郑州铁路局北京师范大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划北京市自然科学基金广东省自然科学基金更多>>
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Zeros of the Jones Polynomial for Torus Knots and 2-bridge Knots被引量:3
《Chinese Quarterly Journal of Mathematics》2014年第4期612-619,共8页HAN You-fa ZHANG Rong-wei WANG Lin-lin MA Xiao-sha 
Supported by the National Science Foundation of China(11471151); Supported by Program for Liaoning Excellent Talents in University(LR2011031) Acknowledgment The authors would like to thank the referees for kind suggestions and many useful comments
We study zeros of the Jones polynomial and their distributions for torus knots and 2-bridge knots. We prove that e(2m+1)πi/2and e(2m+1)πi/4(m is a positive integer)can not be the zeros of Jones polynomial for torus ...
关键词:Jones polynomial ZEROS torus knot 2-bridge knot 
Value Distribution of a Class of Differential Polynomials
《Chinese Quarterly Journal of Mathematics》2010年第1期23-29,共7页XU Jun-feng ZHANG Zhan-liang 
Supported by the NSF of China(10771121);Supported by the "Yumiao" Project of Guangdong Province(LYM08097)
Let f(z) be a transcendental meromorphic function in the complex plane and a ≠0 be a constant, for any positive integer m, n, k, satisfy m ≥ nk+n+2, ψ= f^m +a(f^(κ))^n has infinitely many zeros. The corre...
关键词:meromorphic function differential polynomials ZEROS normal family 
On the Location of Zeros of Higher Order Differential Equation被引量:2
《Chinese Quarterly Journal of Mathematics》2010年第1期92-97,共6页CHEN Yu-xian WU Zhao-jun 
Supported by the NSF of China(10471048)
In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order diff...
关键词:second order exponent convergence Nevanlinna theory higher order differential equation 
Zeros of Differential Polynomial f(z)f(k)(z) -- a and Its Normality被引量:6
《Chinese Quarterly Journal of Mathematics》2009年第1期75-80,共6页LU Qian GU Yong-xing 
Foundation item: Supported by the National Natural Science Foundation of Education Department of Sichuan Province(2002A031); Supported by the "11.5" Research and Study Programs of SWUST(06zx2116); Supported by the National Natural Science Foundation of China(10271122)
Suppose that function f(z) is transcendental and meromorphic in the plane. The aim of this work is to investigate the conditions in which differential monomials f(z)f(k)(z) takes any non-zero finite complex nu...
关键词:differential polynomial meromorphic functions ZEROS normlity 
Evaluation of the Assistant Function with Four Zeros and all Nonprincipal Characters but X1X2X3X4
《Chinese Quarterly Journal of Mathematics》2006年第2期196-201,共6页LI Yi-jun 
Supported by the National Natural Science Foundation of China(10171076);Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027)
To obtain a better Vinogradov's bound, assistant function with two or three zeros and all Dirichlet's characters has been evaluated. Assistant function g(X1,X2,X3,X4)with four zeros and all nonprincipal characters but...
关键词:Dirichlet's character L-FUNCTION four zeros Goldbach's problem Vinogradov's bound 
The Estimation of the Number of Zeros of the Abelian Integrals for a Class of Hamiltonian Systems
《Chinese Quarterly Journal of Mathematics》2005年第2期158-162,共5页SONGYan 
In this paper, we discuss the estimation of the number of zeros of the Abelian integral for the quadratic system which has a periodic region with a parabola and a straight line as its boundary when we perturb the syst...
关键词:Hamiltonian system Abelian integral Picard-Puchs equation general Rolle's theorem 
Regularity of (0,2)-interpolation on the Zeros of the Lascenov Polynomials
《Chinese Quarterly Journal of Mathematics》2000年第2期80-86,共7页张秀英 薛明志 
SupportedbyNSFofHenanProvinceEducationCommission!( 1999110 0 17)
In is paper, a necessary and sufficient condition of regularity of (0,2)_interpolation on the zeros of the Lascenov Polynomials R (α,β) n(x)(α,β>-1) in a manageable form is estabished. Meanwhile, the explic...
关键词:Birkhoff interpolation REGULARITY Lascenov polynomial fundamental polynomials 
The Interpolation Polynomial Based on the Zeros of the Legendre Polynomial
《Chinese Quarterly Journal of Mathematics》1989年第2期67-75,共9页张培璇 
Let P_n(z) be the Legendre polynomial satisfing P_n(1)=1. For a function f(z) we denote by L_n(f;z) the Lagrange interpolation polynomial based on the zeros of the P_n(z), we denote by G_d the elliptic region with foc...
关键词:LEGENDRE 插值多项式 过度收敛 插值点 短半轴 插值逼近 适合条件 解析函数 大时 首项系数 
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