Zobrazeno 1 - 10 of 50 pro vyhledávání: '"Samuel L. Krushkal"'
1
Akademický článek
A Variational Theory for Biunivalent Holomorphic Functions
Autor: Samuel L. Krushkal
Publikováno v: Axioms, Vol 13, Iss 9, p 628 (2024)
Biunivalent holomorphic functions form an interesting class in geometric function theory and are connected with special functions and solutions of complex differential equations. This class has been investigated by many authors, mainly to find the co
Externí odkaz: https://doaj.org/article/88a45d2f64e343fb93d12c51e834b6ef
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2
Akademický článek
Asymptotic Conformality and Polygonal Approximation
Autor: Samuel L. Krushkal
Publikováno v: Axioms, Vol 13, Iss 6, p 376 (2024)
Univalent functions with asymptotically conformal extension to the boundary form a subclass of functions with quasiconformal extension with rather special features. Such functions arise in various questions of geometric function theory and Teichmüll
Externí odkaz: https://doaj.org/article/50116de8aa754c7384137e6443f1930d
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3
Akademický článek
Quasiconformal Homeomorphisms Explicitly Determining the Basic Curve Quasi-Invariants
Autor: Samuel L. Krushkal
Publikováno v: Axioms, Vol 12, Iss 10, p 944 (2023)
The classical Belinskii theorem implies that any sufficiently regular function μ(z) on the extended complex plane C^ with a small C1+α norm generates via the two-dimensional Cauchy integral a quasiconformal automorphism w of C^ with the Beltrami co
Externí odkaz: https://doaj.org/article/696df519f94548d7b72a6ca23ac1b63f
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4
Akademický článek
On Holomorphic Contractibility of Teichmüller Spaces
Autor: Samuel L. Krushkal
Publikováno v: Axioms, Vol 11, Iss 10, p 548 (2022)
The problem of the holomorphic contractibility of Teichmüller spaces T(0,n) of the punctured spheres (n>4) arose in the 1970s in connection with solving algebraic equations in Banach algebras. Recently it was solved by the author. In the present pap
Externí odkaz: https://doaj.org/article/0454df9d15a24903863938cc125a9614
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5
Akademický článek
On the Extremality of Harmonic Beltrami Coefficients
Autor: Samuel L. Krushkal
Publikováno v: Mathematics, Vol 10, Iss 14, p 2460 (2022)
We prove a general theorem, which provides a broad collection of univalent functions with equal Grunsky and Teichmüller norms and thereby the Fredholm eigenvalues and the reflection coefficients of associated quasicircles. It concerns an important p
Externí odkaz: https://doaj.org/article/fa5c56cd6df847c8a76c903a538b386a
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