Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions
Serdica Mathematical Journal, Tome 25 (1999) no. 4, pp. 341-350
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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
@article{SMJ2_1999_25_4_a5,
author = {Kanas, Stanislawa},
title = {Alternative {Characterization} of the {Class} {k-UCV} and {Related} {Classes} of {Univalent} {Functions}},
journal = {Serdica Mathematical Journal},
pages = {341--350},
year = {1999},
volume = {25},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_1999_25_4_a5/}
}
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/