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On Asymmetric Entire Functions [PDF]
We shall obtain a result for entire functions which generalizes (1). To see what to expect, note that p(eiz) is an entire function f(z) of exponential type of a special kind: if h(Q) is its indicator, we have h(-7r/2) =n, but h(7r/2) 1,f(z) has no zeros in ...
Q. I. Rahman
+4 more sources
Approximation by entire functions. [PDF]
Wilfred Kaplan
openaire +4 more sources
On Certain Entire Functions [PDF]
I. M. Sheffer
openaire +3 more sources
On the derivative of an entire function [PDF]
Morris Marden
openaire +3 more sources
Asymptotic Functions of Entire Functions [PDF]
If $f$ is an entire function and $a$ is a complex number, $a$ is said to be an asymptotic value of $f$ if there exists a path $ $ from $0$ to infinity such that $f(z) - a$ tends to $0$ as $z$ tends to infinity along $ $. The Denjoy--Carleman--Ahlfors Theorem asserts that if $f$ has $n$ distinct asymptotic values, then the rate of growth of $f$ is at ...
John Rossi+2 more
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No Entire Inner Functions [PDF]
6 pages, doubling condition ...
Daniel Seco, Alberto Cobos
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On the mean of an entire function and the mean of the product of two entire functions [PDF]
T. V. Lakshminarasimhan
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Ultradifferentiable classes of entire functions
AbstractWe study classes of ultradifferentiable functions defined in terms of small weight sequences violating standard growth and regularity requirements. First, we show that such classes can be viewed as weighted spaces of entire functions for which the crucial weight is given by the associated weight function of the so-called conjugate weight ...
Nenning, David Nicolas, Schindl, Gerhard
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Baker's conjecture for functions with real zeros [PDF]
Baker's conjecture states that a transcendental entire functions of order less than 1/2 has no unbounded Fatou components. It is known that, for such functions, there are no unbounded periodic Fatou components and so it remains to show that they can also
Ahlfors+26 more
core +3 more sources
Connectedness properties of the set where the iterates of an entire function are bounded [PDF]
We investigate some connectedness properties of the set of points K(f) where the iterates of an entire function f are bounded. In particular, we describe a class of transcendental entire functions for which an analogue of the Branner-Hubbard conjecture ...
Baker+8 more
core +2 more sources