Differential superordinations defined by an integral operator

• Autorzy: Balaeti C. M.
• Konferencja: Informatics and Related Fields / XIV International Conference on Mathematics (XIV ; 7-11.11.2008 ; Ustrzyki Dolne, Polska)
• Języki publikacji: EN

Abstrakty

EN

By using the integral operator I(m) f, we introduce a class of holomorphic functions denoted by J(m)(α) and we obtain some superordinations results related to this class.

Słowa kluczowe

EN

differential subordination; differential superordination; integral operator

PL

operator całkowy

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2009
• Tom: Vol. 31
• Strony: 29--36
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Balaeti C. M.

• Department of Mathematics and Computer Science University of Petrosani Str. Universitatii, No. 20 332006 Petrosani, Romania,

Bibliografia

• [1] D.J. Hallenbeck, S. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52(1975), 191-195.
• [2] S.S. Miller and P.T. Mocanu, Differential Subordinations. Theory and Applications, Marcel Dekker Inc., New York, Basel, 2000.
• [3] S.S. Miller and P.T. Mocanu, Subordinants of Differential Superordinations, Complex Variables, 48, 10(2003), 815-826.
• [4] P.T. Mocanu, T. Bulboaca, G.St. Salagean, Teoria geometrica a functiilor univalente, Casa Cartii de Stiinta, Cluj-Napoca, 1999 (in romanian).
• [5] Gh. Oros, G.I. Oros, Differential superordination defined by Salagean operator, General Mathematics, Sibiu, 12, (4)2004, 3-10.
• [6] Gr.St. Salagean, Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, 1013(1983), 362-372.