On a subclass of $\alpha $-uniform convex functions
Archivum mathematicum, Tome 41 (2005) no. 2, pp. 175-180
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In this paper we define a subclass of $\alpha $-uniform convex functions by using the S’al’agean differential operator and we obtain some properties of this class.
In this paper we define a subclass of $\alpha $-uniform convex functions by using the S’al’agean differential operator and we obtain some properties of this class.
Classification : 30C45
Keywords: Libera type integral operator; $\alpha $-uniform convex functions; S’al’agean differential operator
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Acu, Mugur. On a subclass of $\alpha $-uniform convex functions. Archivum mathematicum, Tome 41 (2005) no. 2, pp. 175-180. http://geodesic.mathdoc.fr/item/ARM_2005_41_2_a5/

[1] Acu M., Blezu D.: A preserving property of a Libera type operator. Filomat 14 (2000), 13–18. | MR | Zbl

[2] Duren P. L.: Univalent Functions. Springer-Verlag, 1984. | MR | Zbl

[3] Goodman A. W.: On uniformly convex function. Ann. Polon. Math. LVIII (1991), 86–92. | MR

[4] Magdaş I.: Doctoral thesis, University “Babes-Bolyai" Cluj-Napoca, 1999. | Zbl

[5] Miller S. S., Mocanu P. T.: Differential subordinations and univalent functions. Michigan Math. J. 28 (1981), 157–171. | MR | Zbl

[6] Miller S. S., Mocanu P. T.: Univalent solution of Briot-Bouquet differential equations. J. Differential Equations 56 (1985), 297–308. | MR

[7] Miller S. S., Mocanu P. T.: On some classes of first order differential subordinations. Michigan Math. J. 32 (1985), 185–195. | MR | Zbl

[8] Mocanu P. T.: Une propriété de convexité généralisée dans la theorie de la representation conforme. Mathematica (Cluj) 11(34) (1969), 127–133. | MR | Zbl

[9] Ronning F.: On starlike functions associated with parabolic regions. Ann. Univ. Mariae Curie-Sklodowska, Sect. A 45(14) (1991), 117–122. | MR

[10] Sălăgean, Gr.: On some classes of univalent functions. Seminar of geometric function theory, Cluj-Napoca, 1983