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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...
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 spiders web. We show that s...
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...
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...
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.
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...

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