Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
Serdica Mathematical Journal (1998)
- Volume: 24, Issue: 3-4, page 339-344
- ISSN: 1310-6600
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topDimkov, Georgi, and Dziok, Jacek. "Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions." Serdica Mathematical Journal 24.3-4 (1998): 339-344. <http://eudml.org/doc/11598>.
@article{Dimkov1998,
abstract = {∗ Partially supported by grant No. 433/94 NSF of the Ministry of Education and Science of the Republic of Bulgaria 1991 Mathematics Subject Classification:30C45We consider functions of the type, j=1 ... n, F(z) = z^p ∏ [ fj (z)/(z^p) ] ^αj
where fj are p-valent functions starlike of order αj and aj are complex
numbers. The problem we solve is to find conditions for the centre and the
radius of the disc \{z : |z − ω| < r\}, contained in the unit disc \{z : |z| < 1\}
and containing the origin, so that its transformation by the function F be a
domain starlike with respect to the origin.},
author = {Dimkov, Georgi, Dziok, Jacek},
journal = {Serdica Mathematical Journal},
keywords = {Univalent; P−Valent; Starlike of Order α; univalent function; -valent function; starlike},
language = {eng},
number = {3-4},
pages = {339-344},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions},
url = {http://eudml.org/doc/11598},
volume = {24},
year = {1998},
}
TY - JOUR
AU - Dimkov, Georgi
AU - Dziok, Jacek
TI - Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
JO - Serdica Mathematical Journal
PY - 1998
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 3-4
SP - 339
EP - 344
AB - ∗ Partially supported by grant No. 433/94 NSF of the Ministry of Education and Science of the Republic of Bulgaria 1991 Mathematics Subject Classification:30C45We consider functions of the type, j=1 ... n, F(z) = z^p ∏ [ fj (z)/(z^p) ] ^αj
where fj are p-valent functions starlike of order αj and aj are complex
numbers. The problem we solve is to find conditions for the centre and the
radius of the disc {z : |z − ω| < r}, contained in the unit disc {z : |z| < 1}
and containing the origin, so that its transformation by the function F be a
domain starlike with respect to the origin.
LA - eng
KW - Univalent; P−Valent; Starlike of Order α; univalent function; -valent function; starlike
UR - http://eudml.org/doc/11598
ER -
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