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

Serdica Mathematical Journal (1999)

- Volume: 25, Issue: 4, page 341-350
- ISSN: 1310-6600

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topKanas, 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 -

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