Results 11 to 20 of about 18,386,226 (307)
Connectedness properties of the set where the iterates of an entire function are bounded [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2012 We investigate some connectedness properties of the set of points K(f) where the iterates of an entire function f are bounded. We describe a class of transcendental entire functions for which K(f) is totally disconnected if and only if each component of ...
J. Osborne
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On the Hausdorff dimension of the Julia set of a regularly growing entire function† [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2009 We show that if the growth of a transcendental entire function f is sufficiently regular, then the Julia set and the escaping set of f have Hausdorff dimension 2.
Walter Bergweiler, B. Karpinska
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Two shared set problems in the light of powers of meromorphic functions [PDF]
Surveys in Mathematics and its Applications, 2021 In the paper, we deal the two shared set problems in view of powers of meromorphic functions and find results in the sense of least cardinality. We have also shown the sharpness of our main results.
Sanjay Mallick
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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The minimal growth of entire functions with given zeros along unbounded sets
Математичні Студії, 2020 Let $l$ be a continuous function on $\mathbb{R}$ increasing to $+\infty$, and $\varphi$ be a positive function on $\mathbb{R}$. We proved that the condition $$ \varliminf_{x\to+\infty}\frac{\varphi(\ln[x])}{\ln x}>0 $$ is necessary and sufficient in ...
I. V. Andrusyak, P.V. Filevych
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No Entire Inner Functions [PDF]
Analysis Mathematica, 2020 6 pages, doubling condition ...
Cobos, A., Seco Forsnacke, Daniel
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ON FINDING THE RESULTANT OF TWO ENTIRE FUNCTIONS
Проблемы анализа, 2020 Using Newton’s recurrent formulae, we find the product of values of an entire function of one variable in zeroes of another entire function. This allows to answer whether they have common zeros.
A. M. Kytmanov, E. K. Myshkina
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Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight
Cubo, 2022 In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight.
Goutam Haldar
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On the set where the iterates of an entire function are neither escaping nor bounded [PDF]
, 2015 For a transcendental entire function f, we study the set of points BU(f) whose iterates under f neither escape to infinity nor are bounded. We give new results on the connectedness properties of this set and show that, if U is a Fatou component that ...
J. Osborne, D. Sixsmith
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
Проблемы анализа, 2021 We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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