Univalent functions with quasiconformal extensions

Autor:	Paul Deiermann
Rok vydání:	1992
Předmět:	Normalization (statistics) Extremal length Mathematics::Complex Variables Mathematical analysis General Medicine Finite set Mathematics Univalent function
Zdroj:	Complex Variables, Theory and Application: An International Journal. 19:243-257
ISSN:	1563-5066 0278-1077
DOI:	10.1080/17476939208814578
Popis:	By the method of extremal length, three general theorems are proven which find, as corollaries, sharp coefficient bounds for functions univalent in the exterior of the unit disc, with a standard normalization but also assuming a finite number of initial coefficients are zero, which possess a K-quasiconformal extension to a ring subdomain of the unit disc. All extremal functions are exhibited. Similar estimates are found for functions similar to the above but which omit a fixed disc centered at the origin.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9e0058ba03d5d43256c6479c8abede30 https://doi.org/10.1080/17476939208814578 Zobrazit plný text záznamu