Glasnik Matematicki, Vol. 33, No.2 (1998), 185-198.
ON STRONGLY STARLIKENESS OF ORDER α IN
SEVERAL COMPLEX VARIABLES
Gabriela Kohr and Piotr Liczberski
Babes-Bolyai University, Faculty of Mathematics, M.
Kogalniceanu Str. 1, 3400 Cluj-Napoca, Romania
e-mail: gkohr@math.ubbcluj.ro
Technical University of Lodz, Institute of Mathematics,
Al. Politechniki 11, 90-924 Lodz, Poland
e-mail: piliczb@lodz1.p.lodz.pl
Abstract. In this paper we introduce the concept
of strongly starlikeness of order
α > 0,
for holomorphic mappings defined on the unit ball of
Cn.
We obtain the distorsion and the covering theorems for strongly
starlike mappings of order
α ∈ (0,1] and we give a
connection between strongly starlikeness and spirallikeness in
Cn.
1991 Mathematics Subject Classification.
32H, 30C45.
Key words and phrases. Biholomorphic mapping, starlike
mapping, strongly starlikeness of order α, spirallike mapping.
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