Treffer: On integral means of star-like functions

Title:
On integral means of star-like functions
Authors:
Gromova, L, Vasil'ev, A
Source:
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
Conicyt_qa
ANID
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Publisher Information:
Springer Science and Business Media LLC, 2002.
Publication Year:
2002
Subject Terms:
integral means, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), starlike functions, univalent functions, General theory of univalent and multivalent functions of one complex variable, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
0973-7685
0253-4142
DOI:
10.1007/bf02829689
Access URL:
https://zbmath.org/1874183
https://doi.org/10.1007/bf02829689
https://link.springer.com/content/pdf/10.1007/BF02829689.pdf
http://repositorio.conicyt.cl/handle/10533/173896
https://link.springer.com/article/10.1007/BF02829689
https://hdl.handle.net/10533/173896
https://repositorio-qa.anid.cl/handle/10533/173896
http://hdl.handle.net/10533/173896
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....8d8c8263ce19c42d72fe65277ee5ad5c
Database:
OpenAIRE

Weitere Informationen

Let \(S\) be the class of holomorphic univalent functions in the unit disc \(\Delta =\{ z\in \mathbb C : |z|\alpha \), for all \(z\in \Delta \). In this paper the authors obtain a number of estimates on integral means of products of the type \(|f|^{\lambda_1}|f'|^{\lambda_2}\). The function \(k_\alpha (z)=z/(1-z)^{2(1-\alpha)}\) is extremal for these estimates.