# 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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