On Brennan's Conjecture for a Special Class of Functions

Autor:	I. P. Kayumov
Rok vydání:	2005
Předmět:	Combinatorics Conjecture General Mathematics Mathematical analysis Zero (complex analysis) Conformal map Function (mathematics) Taylor coefficients Special class Mathematics
Zdroj:	Mathematical Notes. 78:498-502
ISSN:	1573-8876 0001-4346
DOI:	10.1007/s11006-005-0149-1
Popis:	In this paper, we prove Brennan's conjecture for conformal mappings f of the disk {z : | z| < 1} assuming that the Taylor coefficients of the function log(zf′(z)/f(z)) at zero are nonnegative. We also obtain inequalities for the integral means over the circle |z| = r of the squared modulus of the function zf′(z)/f(z).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8e7ee92825fcba6690643520bbdbc6d0 https://doi.org/10.1007/s11006-005-0149-1 Zobrazit plný text záznamu Plný text ve formátu PDF