Temat: Schwarzian - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On a theorem of Haimo regarding concave mappings
Autorzy:: Chuaqui, Martin
Duren, Peter
Osgood, Brad
Powiązania:: https://bibliotekanauki.pl/articles/747057.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Concave mapping
Schwarzian derivative
Schwarzian norm
Haimo’s theorem
univalence
Sturm comparison
asymptotically conformal curve
Opis:: A relatively simple proof is given for Haimo’s theorem that a meromorphic function with suitably controlled Schwarzian derivative is a concave mapping. More easily verified conditions are found to imply Haimo’s criterion, which is now shown to be sharp. It is proved that Haimo’s functions map the unit disk onto the outside of an asymptotically conformal Jordan curve, thus ruling out the presence of corners.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Hyperbolically convex functions II
Autorzy:: Ma, William
Minda, David
Powiązania:: https://bibliotekanauki.pl/articles/1294054.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: hyperbolic convexity
two-variable characterization
Schwarzian derivative
distortion theorem
Opis:: Unlike those for euclidean convex functions, the known characterizations for hyperbolically convex functions usually contain terms that are not holomorphic. This makes hyperbolically convex functions much harder to investigate. We give a geometric proof of a two-variable characterization obtained by Mejia and Pommerenke. This characterization involves a function of two variables which is holomorphic in one of the two variables. Various applications of the two-variable characterization result in a number of analogies with the classical theory of euclidean convex functions. In particular, we obtain a uniform upper bound on the Schwarzian derivative. We also obtain the sharp lower bound on |f'(z)| for all z in the unit disk, and the sharp upper bound on |f'(z)| when |z| ≤ √2 - 1.
Źródło:: Annales Polonici Mathematici; 1999, 71, 3; 273-285
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On a problem of Seiberg and Witten
Autorzy:: Barrett, David
Powiązania:: https://bibliotekanauki.pl/articles/1294173.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: supersymmetric Yang-Mills theory
flat vector bundles
Wrońskian
Schwarzian
Opis:: We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve $Im a_{D}/a = 0$.
Źródło:: Annales Polonici Mathematici; 1998, 70, 1; 25-34
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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