Results 141 to 150 of about 5,762,325 (182)

Geometric Subfamily of Functions Convex in Some Direction and Blaschke Products

Bulletin of the Malaysian Mathematical Sciences Society
Consider the family of locally univalent analytic functions h in the unit disk |z|
Liulan Li, S. Ponnusamy
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A Geometric and Computer-Simulation Approach to the Study of Blaschke Products and Dirichlet Functions

WSEAS Transactions on Mathematics
The purpose of this article is to systematically explore the geometric properties of finite and infinite Blaschke products, as well as of the Dirichlet functions generated by them.
D. Ghisa, David Mikulin
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Universal Blaschke products

Mathematical Proceedings of the Cambridge Philosophical Society, 2004
Let \(\mathcal B\) be the set of all functions holomorphic in the unit disk \(\mathbb D\) and bounded by one. Each sequence \(\{z_n\}\) of points in \(\mathbb D\) gives rise to a family of Möbius transforms \(w_n(z)=(z+z_n)/(1+\bar{z}_n z)\). A Blaschke product \(B\) is said to be universal for \(\{z_n\}\) if the set of compositions \(\{B\circ w_n ...
Gorkin, Pamela, Mortini, Raymond
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Mono‐components from Blaschke products as solutions of a wave equation

Mathematical methods in the applied sciences, 2019
In this note, we prove that the uni‐modular mono‐components from Blaschke products in the unit disc are eigenvectors of the Sturm‐Liouville operators and investigate a kind of wave equations with some initial conditions, which give rise to mono ...
B. Xiao, Ying Dai, W. Yuan
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Inscribed Ellipses and Blaschke Products

Computational Methods and Function Theory, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Blaschke Products and Their Applications

Fields Institute Communications, 2013
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Describing Blaschke Products by Their Critical Points

Trends in Mathematics, 2021
Oleg Ivrii
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The Derivative of a Blaschke Product

2012
Let (z n ) n ≥ 1 be a Blaschke sequence and let $$B(z) = \prod \limits _{n=1}^{\infty }\frac{\vert {z}_{n}\vert } {{z}_{n}} \,\, \frac{{z}_{n} - z} {1 -\bar{ {z}}_{n}\,z}.$$ For a fixed point \(z \in \mathbb{D}\), we know that the partial products $${B}_{N}(z) = \prod \limits _{n=1}^{N}\frac{\vert {z}_{n}\vert } {{z}_{n}} \,\, \frac{{z}_{n} -
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A Characterization of Finite Blaschke Products with Degree n

Chinese Annals of Mathematics. Series B
Cailing Yao, Bingzhe Hou, Yang Cao
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Family of Finite Blaschke Products in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^*$$\end{document}-Algebras

Mathematical Notes
T. Grigoryan, A. Kuznetsova
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