Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions

Kanas, Stanislawa. "Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions." Serdica Mathematical Journal 25.4 (1999): 341-350. <http://eudml.org/doc/11523>.

@article{Kanas1999,
abstract = {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.},
author = {Kanas, Stanislawa},
journal = {Serdica Mathematical Journal},
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; univalent functions; convex functions; starlike functions of order ; -convex functions; uniformly convex functions; uniformly starlike functions; -uniformly convex functions; -starlike functions},
language = {eng},
number = {4},
pages = {341-350},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions},
url = {http://eudml.org/doc/11523},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Kanas, Stanislawa
TI - Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 4
SP - 341
EP - 350
AB - 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.
LA - eng
KW - 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; univalent functions; convex functions; starlike functions of order ; -convex functions; uniformly convex functions; uniformly starlike functions; -uniformly convex functions; -starlike functions
UR - http://eudml.org/doc/11523
ER -