Geodesic
Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions
Serdica Mathematical Journal, Tome 25 (1999) no. 4, pp. 341-350.

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In this paper an alternative characterization of the class of functions called k -uniformly convex is found. Various relations concerning connections with other classes of univalent functions are given. Moreover a new class of univalent functions, analogous to the ’Mocanu class’ of functions, is introduced. Some results concerning this class are derived.
Keywords: Univalent Functions, Convex Functions, Starlike Functions of Order β, α-Convex Functions, Uniformly Convex Functions, Uniformly Starlike Functions, K-uniformly Convex Functions, K-Starlike Functions 
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Kanas, Stanislawa. Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions. Serdica Mathematical Journal, Tome 25 (1999) no. 4, pp. 341-350. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_4_a5/