On univalent functions defined by a generalized differential operator

• Autorzy: Ibrahim R. W. , Darus M.
• Języki publikacji: EN

Abstrakty

EN

The object of this paper is to derive some inclusion relations regarding a new class by using the generalized differential operator due to the authors.

Słowa kluczowe

EN

differential operator; analytic functions; univalent functions

PL

operator różniczkowy; funkcja analityczna; funkcja jednolistna

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 2
• Strony: 305--313
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Ibrahim R. W.

autor

Darus M.

• School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia,

Bibliografia

• [1] F. M. Al-Oboudi, On univalent functions defined by a generalized Salagean operator, Inter. J. Math. Math. Sci., (27) (2004), 1429-1436.
• [2] A. Catas, A note on subclasses of univalent functions defined by a generalized Salagean operator, Acta Universitatis Apulensis, 12 (2006), 73-78.
• [3] S. S. Miller, P. T. Mocanu, On some classes of first order differential subordinations, Michigan Math. J., 32 (1985), 185-195.
• [4] S. S. Miller, P. T. Mocanu, Differential Subordinants: Theory and Applications, Monographs and Texbooks in Pure and Applied Mathematics, vol. 225, Marcel Dekker, New York, 2000.
• [5] S. S. Miller, P. T. Mocanu, Subordinants of differential superordinations, Complex Variables, 48(10) (2003), 815-826.
• [6] G. I. Oros, On a class of holomorphic functions defined by Salagean differential operator. Complex Variables, 50(4) 2005, 257-267.
• [7] G. S. Salagean, Subclasses of univalent functions. Lecture Notes in Math., 1013, Springer-Verlag, Berlin, 1983, 362-372.