On some classes of meromorphic functions defined by subordination and superordination

• Autorzy: Totoi A.
• Języki publikacji: EN

Abstrakty

EN

Let p ∈ N* and β,γ ∈ C with β,≠ 0 and let ∑p denote the class of meromorphic functions of the form g(z) = α-p/zp + α0 + α1z + …, z ∈ U, α-p ≠ 0. We consider the integral operator Jp,β,γ : Kp,β,γ: ⊂ ∑p → ∑p defined by [formula]. We introduce some new subclasses of the class ∑p, associated with subordination and superordination, such that, in some particular cases, these new subclasses are the well-known classes of meromorphic starlike functions and we study the properties of these subclasses with respect to the operator Jp,β,γ.

Słowa kluczowe

EN

meromorphic functions; integral operators; subordination; superordination

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 4
• Strony: 651--668
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Totoi A.

• "Lucian Blaga" University of Sibiu Faculty of Science Department of Mathematics Str. Dr. I. Ratiu, no. 5, Sibiu, Romania,

Bibliografia

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• [3] S.S. Miller, P.T. Mocanu, Differential subordinations. Theory and applications, Marcel Dekker Inc., New York, Basel, 2000.
• [4] S.S. Miller, P.T. Mocanu, Subordinants of differential superordinations, Complex Variables 48 (2003) 10, 815–826.
• [5] S.S. Miller, P.T. Mocanu, Briot-Boquet differential superordinations and sandwich theorems, J. Math. Anal. Appl. 329 (2007), 327–335.
• [6] P.T. Mocanu, Some simple criteria for starlikeness and convexity, Libertas Mathematica 13 (1993), 27–40.
• [7] Gh. Oros, G.I. Oros, An application of Briot-Bouquet differential subordinations, Buletinul Academiei de Ştiinţe a Republicii Moldova, Matematica 50 (2006), 101–104.
• [8] A. Totoi, On integral operators for meromorphic functions, General Mathematics 18 (2010) 3, 91–108.