Results 1 to 10 of about 4,654,954 (329)

On Asymmetric Entire Functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1963
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

On Certain Entire Functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1952
I. M. Sheffer
openaire   +3 more sources

On the derivative of an entire function [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1968
Morris Marden
openaire   +3 more sources

Asymptotic Functions of Entire Functions [PDF]

open access: yesComputational Methods and Function Theory, 2021
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
openaire   +3 more sources

No Entire Inner Functions [PDF]

open access: yesAnalysis Mathematica, 2020
6 pages, doubling condition ...
Daniel Seco, Alberto Cobos
openaire   +4 more sources

Ultradifferentiable classes of entire functions

open access: yesAdvances in Operator Theory, 2023
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
openaire   +4 more sources

Baker's conjecture for functions with real zeros [PDF]

open access: yes, 2018
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]

open access: yes, 2012
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

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