The univalence of general integral operator Bazilevič

• Autorzy: Pescar V.
• Języki publikacji: EN

Abstrakty

EN

In this paper we define a general integral operator Bazilevič and we obtain sufficient conditions for univalence of this integral operator.

Słowa kluczowe

EN

integral operator; univalence; starlike

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 2
• Strony: 253--260
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pescar V.

• Faculty of Mathematics and Computer Science Department of Mathematics 500091 Braşov, Romania

Bibliografia

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• [2] D.Blezu, On univalence criteria, Gen. Math. 14 (2006), 87-93.
• [3] O.Mayer, The Functions Theory of One Variable Complex, Bucureşti, 1981.
• [4] P.T. Mocanu, T.Bulboacă, G. Şt. Sălăgean, The Geometric Theory of Uniwalent Functions, Cluj, 1999.
• [5] S.Moldoveanu, N.N.Pascu, R.N.Pascu, On the univalence of an integral operator, Mathematica 43 (2001), 113-116.
• [6] Z.Nehari, Conformal Mapping, Mc Graw-Hill Book Comp., New York, 1952 (Dover. Publ. Inc., 1975).
• [7] N.N.Pascu, On a Univalence Criterion II, Itinerant Seminar Functional Equations, Approximation and Convexity, (Cluj Napoca, 1985), Preprint, University “Babeş-Bolyai", Cluj Napoca, 85 (1985), 153-154.
• [8] V.Pescar, New Univalence Criteria, “Transilvania" University of Braşov, 2002.
• [9] V.Pescar, D.V.Breaz, The Univalence of Integral Operators, Academic Publishing House, Sofia, 2008.
• [10] C.Pommerenke, Univalent functions, Göttingen, 1975.