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Computational Methods and Function Theory最新文献

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A Uniqueness Problem Concerning Entire Functions and Their Derivatives 关于整个函数及其导数的唯一性问题
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-08-24 DOI: 10.1007/s40315-023-00486-4
A. Sauer, A. Schweizer
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引用次数: 1
On the Universality of Sequences of Differential Operators Related to Taylor Series 论与泰勒级数相关的微分算子序列的通用性
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-08-22 DOI: 10.1007/s40315-022-00466-0
V. Lykoura, A. Mouze, V. Vlachou
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引用次数: 0
An Extremal Problem for Odd Univalent Polynomials 奇一元多项式的一个极值问题
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-08-03 DOI: 10.1007/s40315-023-00487-3
D. Dmitrishin, Daniel Gray, A. Stokolos, Iryna Tarasenko
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引用次数: 1
An Elementary Counterexample to a Coefficient Conjecture 系数猜想的一个基本反例
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-07-28 DOI: 10.1007/s40315-023-00490-8
Liulan Li, S. Ponnusamy, K. Wirths
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引用次数: 0
Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra 磁盘代数中一些经典插值定理和多次插值定理的简短证明
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-07-25 DOI: 10.1007/s40315-022-00463-3
R. Mortini
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引用次数: 1
Bergman Projections Induced by Doubling Weights on the Unit Ball of $${mathbb {C}}^n$$ 的单位球上加倍权值引起的Bergman投影 $${mathbb {C}}^n$$
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-07-18 DOI: 10.1007/s40315-022-00461-5
Juntao Du, Songxiao Li, Xiaosong Liu, Yecheng Shi
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引用次数: 2
Explosion Points and Topology of Julia Sets of Zorich Maps Zorich映射的Julia集的爆炸点和拓扑
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-07-05 DOI: 10.1007/s40315-022-00458-0
Athanasios Tsantaris

Zorich maps are higher dimensional analogues of the complex exponential map. For the exponential family (lambda e^z), (lambda >0), it is known that for small values of (lambda ) the Julia set is an uncountable collection of disjoint curves. The same was shown to hold for Zorich maps by Bergweiler and Nicks. In this paper we introduce a topological model for the Julia sets of certain Zorich maps, similar to the so called straight brush of Aarts and Oversteegen. As a corollary we show that (infty ) is an explosion point for the set of endpoints of the Julia sets. Moreover we introduce an object called a hairy surface which is a compactified version of the Julia set of Zorich maps and we show that those objects are not uniquely embedded in (mathbb {R}^3), unlike the corresponding two dimensional objects which are all ambiently homeomorphic.

Zorich图是复指数图的高维类似物。对于指数族(lambda e^z), (lambda >0),已知对于(lambda )的小值,Julia集是不相交曲线的不可数集合。Bergweiler和Nicks的Zorich地图也证明了这一点。本文引入了一类Zorich映射的Julia集的拓扑模型,类似于Aarts和Oversteegen的直刷。作为推论,我们证明(infty )是Julia集合端点集合的一个爆炸点。此外,我们引入了一个被称为毛状表面的对象,它是Zorich映射的Julia集的紧化版本,我们证明了这些对象不是唯一嵌入(mathbb {R}^3)的,不像相应的二维对象,它们都是环境同胚的。
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引用次数: 2
An Entire Function that Shares a Small Function with its Derivative and Linear Differential Polynomial 一个完整的函数,与它的导数和线性微分多项式共享一个小函数
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-06-24 DOI: 10.1007/s40315-022-00452-6
I. Lahiri
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引用次数: 0
One Component Bounded Functions 单分量有界函数
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-06-04 DOI: 10.1007/s40315-023-00477-5
Carlo Bellavita, A. Nicolau
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引用次数: 1
Radius Problems for Functions Containing Derivatives of Bessel Functions 包含贝塞尔函数导数的函数的半径问题
IF 2.1 4区 数学 Q3 MATHEMATICS Pub Date : 2022-05-31 DOI: 10.1007/s40315-022-00455-3
S. Kazımoğlu, E. Deniz
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引用次数: 4
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Computational Methods and Function Theory
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