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STUDIA MATHEMATICA - Issue no. 3 / 2010 | |||||||
Article: |
ON ARGUMENT PROPERTY OF CERTAIN ANALYTIC FUNCTIONS. Authors: . |
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Abstract: In this paper we generalize the results of Libera and McGregor concerning argument property of analytic functions. We use the result in [3] to prove the following: Theorem. Let be analytic in Δ, f(z) ≠ 0 in 0 < |z| < 1, and suppose that for some α, β (0 < α<1, 0<β < 1) in Δ, and that means subordination. Then we have Key words and phrases. Univalent functions, Argument property of analytic functions. |
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