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On factorization of the Blaschke products

open access: yesOn factorization of the Blaschke products
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Blaschke Products and Circumscribed Conics

Computational Methods and Function Theory, 2017
By a canonical Blaschke product of degree \(d\), the author means a function of the form \[ B(z)=z\prod_{k=1}^{d-1}\frac{z-a_k}{1-\bar{a_k}z}\,, \qquad |a_k|
Masayo Fujimura
exaly   +4 more sources

On universal quotient Blaschke products

Complex Variables and Elliptic Equations
In this paper, we introduce a new member to the universal families, called universal quotient Blaschke product, which is a formal quotient of two formal infinite Blaschke products. A formal infinite Blaschke product is of the form \[ B(z) =\prod_{k =1}^{\
Liulan Li, Tao Qian
exaly   +2 more sources

On Cubic Blaschke Products

open access: yesComplex Analysis and Operator Theory
We show that every cubic Blaschke product has a unique hyperbolic inflection point in the unit disk and, moreover, this point lies at the hyperbolic midpoint of the two critical points.
Alastair N. Fletcher, Alexandra Hill
semanticscholar   +3 more sources

On Baire's First Class Functions and Blaschke Products

Real Analysis Exchange
A. Danielyan, Spyros Pasias
exaly   +2 more sources

On the Growth of Blaschke Products

Canadian Journal of Mathematics, 1969
It is well known that the distribution of the zeros of an analytic function affects its rate of growth. The literature is too extensive to indicate here. We only point out (1, p. 27; 2; 3; 5), where the angular distribution of the zeros plays a role, as it will in this paper. In private communication, A.
MacLane, G. R., Rubel, L. A.
openaire   +2 more sources

The Beauty of Blaschke Products

Handbook of the Mathematics of the Arts and Sciences, 2020
U. Daepp   +3 more
semanticscholar   +2 more sources

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