Geodesic
Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 339-344

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We 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.
Keywords: Univalent, P−Valent, Starlike of Order α 
@article{SMJ2_1998_24_3-4_a7,
     author = {Dimkov, Georgi and Dziok, Jacek},
     title = {Generalized {Problem} of {Sratlikeness} for {Products} of {P-Valent} {Starlike} {Functions}},
     journal = {Serdica Mathematical Journal},
     pages = {339--344},
     publisher = {mathdoc},
     volume = {24},
     number = {3-4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a7/}
}
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
SP  - 339
EP  - 344
VL  - 24
IS  - 3-4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a7/
LA  - en
ID  - SMJ2_1998_24_3-4_a7
ER  - 
%0 Journal Article
%A Dimkov, Georgi
%A Dziok, Jacek
%T Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
%J Serdica Mathematical Journal
%D 1998
%P 339-344
%V 24
%N 3-4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a7/
%G en
%F SMJ2_1998_24_3-4_a7
Dimkov, Georgi; Dziok, Jacek. Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions. Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 339-344. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a7/