Extreme Bloch Functions and Summation Methods for Bloch Functions

Autor:	K. J. Wirths
Rok vydání:	1999
Předmět:	General Mathematics Numerical analysis Mathematical analysis Conformal map Unit disk Critical point (mathematics) Jordan curve theorem Computational Mathematics symbols.namesake Singularity Taylor series symbols Analysis Mathematics Bloch wave
Zdroj:	Constructive Approximation. 15:427-440
ISSN:	1432-0940 0176-4276
DOI:	10.1007/s003659900115
Popis:	In this paper we construct Bloch functions F for which the set {z | e sup|ζ| < 1 |F'(ζ)| ( 1 - |ζ|2) = |F'(z)| ( 1 - |z|2)} is an analytic Jordan curve tangential to the unit disk in some points. It is proved that, using such functions, we can derive analogs to the Taylor expansion for Bloch functions in cases where the Taylor expansion does not converge.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::61f66e7424ac14cf667b3962b98dcd60 https://doi.org/10.1007/s003659900115 Zobrazit plný text záznamu Plný text ve formátu PDF