On a subclass of $\alpha $-uniform convex functions
Acu, Mugur
Archivum Mathematicum, Tome 041 (2005), p. 175-180 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2005-01-01
Classification:  30C45 
@article{107948,
     author = {Mugur Acu},
     title = {On a subclass of $\alpha $-uniform convex functions},
     journal = {Archivum Mathematicum},
     volume = {041},
     year = {2005},
     pages = {175-180},
     zbl = {1109.30006},
     mrnumber = {2164667},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107948}
}

Acu, Mugur. On a subclass of $\alpha $-uniform convex functions. Archivum Mathematicum, Tome 041 (2005) pp. 175-180. http://gdmltest.u-ga.fr/item/107948/

Acu M.; Blezu D. A preserving property of a Libera type operator, Filomat 14 (2000), 13–18. | MR 1953990 | Zbl 1035.30006

Duren P. L. Univalent Functions, Springer-Verlag, 1984. (1984) | MR 0708494 | Zbl 0563.30014

Goodman A. W. On uniformly convex function, Ann. Polon. Math. LVIII (1991), 86–92. (1991) | MR 1145573

Magdaş I. , Doctoral thesis, University “Babes-Bolyai" Cluj-Napoca, 1999. (1999) | Zbl 1027.30029

Miller S. S.; Mocanu P. T. Differential subordinations and univalent functions, Michigan Math. J. 28 (1981), 157–171. (1981) | MR 0616267 | Zbl 0439.30015

Miller S. S.; Mocanu P. T. Univalent solution of Briot-Bouquet differential equations, J. Differential Equations 56 (1985), 297–308. (1985) | MR 0780494

Miller S. S.; Mocanu P. T. On some classes of first order differential subordinations, Michigan Math. J. 32 (1985), 185–195. (1985) | MR 0783572 | Zbl 0575.30019

Mocanu P. T. Une propriété de convexité généralisée dans la theorie de la representation conforme, Mathematica (Cluj) 11(34) (1969), 127–133. (1969) | MR 0273000 | Zbl 0195.36401

Ronning F. On starlike functions associated with parabolic regions, Ann. Univ. Mariae Curie-Sklodowska, Sect. A 45(14) (1991), 117–122. (1991) | MR 1322145

Sălăgean; Gr. On some classes of univalent functions, Seminar of geometric function theory, Cluj-Napoca, 1983 (1983)