Glasnik Matematicki, Vol. 34, No.1 (1999), 11-18.
A SPECIAL CLASS OF UNIVALENT OPERATORS
Teodor Bulboaca
Faculty of Mathematics and Computer Science, Babes-Bolyai
University, 3400 Cluj-Napoca, Romania
e-mail: bulboaca@math.ubbcluj.ro
Abstract. Let H(U) be the space
of analytic functions in the unit disk U and let
h ∈ H(U).
We define a subset
K(β,γ),h
⊂ H(U) and an integral operator
A(β,γ),h :
K(β,γ),h
→
H(U). Then we determine a class of functions
whose images by
A(β,γ),h
operators are univalent. In addition, we give some particular cases
of our main result obtained for appropriate choices of
h, β and γ.
1991 Mathematics Subject Classification.
30C80, 30C45, 30E20.
Key words and phrases. Integral operators, univalent
function, differential subordination, subordination chain,
starlike function.
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