Glasnik matematički, Vol. 34 No. 1, 1999.
Original scientific paper
A special class of univalent operators
Teodor Bulboaca
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.
Keywords
Integral operators; univalent function; differential subordination; subordination chain; starlike function
Hrčak ID:
6397
URI
Publication date:
1.6.1999.
Visits: 837 *