Value range of solutions to the chordal Loewner equation

Autor:	Kristina Samsonova, Dmitri Prokhorov
Rok vydání:	2015
Předmět:	Normalization (statistics) Applied Mathematics media_common.quotation_subject Holomorphic function Value (computer science) Infinity Combinatorics Range (mathematics) Chordal graph Inverse function Without loss of generality Analysis media_common Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 428:910-919
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2015.03.065
Popis:	We describe a value range { f ( z 0 ) } over the class of holomorphic univalent mappings from H ∖ K ( T ) onto the upper half-plane H with the hydrodynamic normalization at infinity where K ( T ) is an arbitrary hull of half-plane capacity T > 0 . Without loss of generality choose z 0 = i . A similar value range over the class of inverse functions f − 1 is also described. This is a specification of the result by Roth and Schleissinger.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fbf3e766dc22b95248735143f84d13e https://doi.org/10.1016/j.jmaa.2015.03.065 Zobrazit plný text záznamu Full Text from ScienceDirect