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Entire Functions of Exponential-Type with Given Zeros
Entire functions Exponential-type Zeros the Growth
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...
Numerical analysis of minimal beta-sequences associated with a family of entire functions
Numerical analysis Entire functions Pochhammer polynomials Riemann Xi-function
2011/9/22
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
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
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...
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...
R. Ganti and G. S. Srivastava, Approximation of Entire Functions over Jordan Domains
Entire function generalized order generalized type Faber polynomial approximation approximation error
2009/6/16
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
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...
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
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...