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1. Uniqueness of entire functions and differential polynomials sharing one value | |||
Zhang Xiaobin ,Meng Dawei | |||
Mathematics 29 October 2009 | |||
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Abstract:In this paper, we shall utilize Nevanlinna value distribution theory to study the uniqueness problems on entire functions and differential polynomials sharing one value. Our theorems improve or generalize some results of Zhang and Lin, Chen, Zhang, Lin and Chen and so on. | |||
TO cite this article:Zhang Xiaobin ,Meng Dawei . Uniqueness of entire functions and differential polynomials sharing one value[OL].[29 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36230 |
2. Further results about the normal family of meromorphic functions and shared sets | |||
Qi Jianming | |||
Mathematics 18 September 2009 | |||
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Abstract:Let $\\mathcal{F}$ be a family of meromorphic functions in a domain $D$, and let $k$, $n(\\geq 2)$ be two positive integers, and let $S=\\{a_1, a_2,..., a_n\\}$, where $a_1, a_2,..., a_n$ are distinct finite complex numbers. If for each $f\\in\\mathcal{F}$, all zeros of $f$ have multiplicity at least $k+1$, and $f$ and $G(f)$ share the set $S$ in $D$, where $G(f)=P(f^{(k)})+H(f)$ is a differential polynomial of $f$, then $\\mathcal{F}$ is normal in $D$. | |||
TO cite this article:Qi Jianming . Further results about the normal family of meromorphic functions and shared sets[OL].[18 September 2009] http://en.paper.edu.cn/en_releasepaper/content/35294 |
3. Uniqueness of Meromorphic Functions Concerning Fixed Points | |||
Liqin Wang ,Luo, Xudan | |||
Mathematics 26 August 2009 | |||
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Abstract:In this paper, we discuss the uniqueness of meromorphic functions concerning fixed points . In view of the fixed points, we extend a recent conclusion due to Zhang and Lin. Moreover, our theorem generalizes some previous results of Fang and Qiu, Lin and Yi and so on. | |||
TO cite this article:Liqin Wang ,Luo, Xudan. Uniqueness of Meromorphic Functions Concerning Fixed Points [OL].[26 August 2009] http://en.paper.edu.cn/en_releasepaper/content/34657 |
4. NORMALITY CRITERIA ABOUT SOME SPECIAL DIFFERENTIAL POLYNOMIALS | |||
Jianming Qi,Ang Chen,Hongxun Yi | |||
Mathematics 08 July 2009 | |||
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Abstract:In this paper, we use the Nevanlinna theory and normal family theory to study the converse Bloch principle. Our results improve the results of K.S. Charak, J. Rieppo. Also we add a necessary condition about a special differential polynomial and improve the result which was obtained by Xu, Wu, and Liao. Furthermore, we point this condition can not be omitted and we extend the result to a new case. | |||
TO cite this article:Jianming Qi,Ang Chen,Hongxun Yi. NORMALITY CRITERIA ABOUT SOME SPECIAL DIFFERENTIAL POLYNOMIALS[OL].[ 8 July 2009] http://en.paper.edu.cn/en_releasepaper/content/33712 |
5. Entire solutions of a certain type of functional-differential equation | |||
Xiao-Bin Zhang,Hong-Xun Yi | |||
Mathematics 25 June 2009 | |||
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Abstract:In this paper, we shall utilize Nevanlinna value distribution theory and normal family to study the solvability of a certain type of functional-differential equation of the form f(z1+z2) = f(z1)f\ | |||
TO cite this article:Xiao-Bin Zhang,Hong-Xun Yi. Entire solutions of a certain type of functional-differential equation[OL].[25 June 2009] http://en.paper.edu.cn/en_releasepaper/content/33407 |
6. Normal Families and Shared Values concerning Differential Polynomial | |||
Shi Zhongchun | |||
Mathematics 28 December 2007 | |||
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Abstract:Let F be a family of meromorphic functions on the plane domain D ,all of whose zeros have multiplicity at least k>=1 ,and if f(z)L(w(z)) = a <==>f(k)(z) = b for all f 2 F andz 2 D (where a 6= 0 and b are fixed complex numbers,L(w(z)) be a differential polynomial,m>=2 be a positive integer),then F is normal on D . | |||
TO cite this article:Shi Zhongchun. Normal Families and Shared Values concerning Differential Polynomial[OL].[28 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17513 |
7. On the complex oscillation theory of analytic solutions of linear differential equations in the unit disc | |||
Cao Tingbin,Yi Hongxun | |||
Mathematics 04 June 2007 | |||
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Abstract:The complex oscillation theory of linear differential equations of the form $$L(f)=f^{(k)}+A_{k-1}(z)f^{(k-1)}+cdots+A_{0}(z)f=F(z)quad(kin textbf{N}),$$ where the coefficients $A_{j}(z) (j=0,cdots,k-1)$ and $F(z)$ are analytic functions in the unit disc $Delta={z:|z|<1},$ is investigated. We obtain several precise theorems about the hyper order, the hyper convergence exponent of zero points and fixed points of solutions of differential equations. | |||
TO cite this article:Cao Tingbin,Yi Hongxun. On the complex oscillation theory of analytic solutions of linear differential equations in the unit disc[OL].[ 4 June 2007] http://en.paper.edu.cn/en_releasepaper/content/13232 |
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