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Entire Functions of Exponential-Type with Given Zeros     Entire functions  Exponential-type  Zeros  the Growth       font style='font-size:12px;'> 2011/10/20
In this paper, we consider some entire functions of exponential-type with given zeros, a kind of sequences of complex numbers in the right half-plane, and discuss the growth of the functions on the im...
Abstract: The Riemann Xi-function Xi(t)=xi(1/2+it) is a particularly interesting member of a broad family of entire functions which can be expanded in terms of symmetrized Pochhammer polynomials depen...
Entire functions for which the escaping set is a spider's web     Entire functions  escaping set  spider's web       font style='font-size:12px;'> 2011/1/19
We construct several new classes of transcendental entire func-tions, f, such that both the escaping set, I(f), and the fast escaping set,A(f), have a structure known as a spider’s web. We show that s...
Convergence of Infinite Composition of Entire Functions      Infinite Composition  Entire Functions        font style='font-size:12px;'> 2010/12/6
The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions be-comes an entire function. Moreover, as an example of such functio...
Fast escaping points of entire functions      points  entire functions        font style='font-size:12px;'> 2010/12/13
Let f be a transcendental entire function and let A(f) denote the set of points that escape to infinity ‘as fast as possible’ under iteration. By writing A(f) as a countable union of closed sets, call...
In the present paper, we study the polynomial approximation of entire functions over Jordan domains by using Faber polynomials. The coefficient characterizations of generalized order and generalized...
Approximation of Entire Functions of Two Complex Variables in Banach Spaces     Entire function  Order  type  Approximation  Error       font style='font-size:12px;'> 2008/7/2
In the present paper, we study the polynomial approximation of entire functions of two complex variables in Banach spaces. The characterizations of order and type of entire functions of two complex va...
An Inequality Associated with Some Entire Functions     Entire functions  growth estimates       font style='font-size:12px;'> 2008/7/2
For some family of entire functions the estimates of growth on infinity are established. In case when a function from this family coincides with exponent the inequality obtained is precise.
Normal Families and Uniqueness of Entire Functions and Their Derivatives     entire function    normal family    unicity theorem         font style='font-size:12px;'> 2007/12/10
Let $f$ be a nonconstant entire function; let $k\ge 2$ be a positive integer; and let $a$ be a nonzero complex number. If $f(z)=a$ $\Longrightarrow $ $f'(z)=a$, and $f'(z)=a$ $\Longrightarrow $ $f^{(k...
Entire functions sharing one value CM with their linear differential polynomials           font style='font-size:12px;'> 2007/7/28
期刊信息 篇名 Entire functions sharing one value CM with their linear differential polynomials 语种 英文 撰写或编译 撰写 作者 Chen Zong-Xuan,Shon Kwang Ho and Yang Chung-Chun 第一作者单位 华南师范大学, 釜山大学(韩国), 香港科技大学 刊物名称 Southea...

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