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Glasnik matematički, Vol. 34 No. 1, 1999.

Original scientific paper

A special class of univalent operators

Teodor Bulboaca

Full text: english pdf 407 Kb

page 11-18

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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

https://hrcak.srce.hr/6397

Publication date:

1.6.1999.

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