Baza Publikacji Pracowników Politechniki Lubelskiej

Status:
Autorzy:	Koczan Leopold, Zaprawa Paweł
Rok wydania:	2011
Wersja dokumentu:	Elektroniczna
Język:	angielski
Numer czasopisma:	15
Wolumen/Tom:	217
Strony:	6644 - 6651
Impact Factor:	1,317
Web of Science® Times Cited:	3
Scopus® Cytowania:	3
Bazy:	Web of Science \| Scopus
Efekt badań statutowych	NIE
Materiał konferencyjny:	NIE
Publikacja OA:	NIE
Abstrakty:	angielski
	In the paper we consider the class Gamma of analytic and univalent functions f in the unit disk Delta, normalized by f(0) = f(0) - 1 = 0, having real coefficients and such that f(Delta) is convex in the direction of the real axis. We are especially interested in some subclasses of Gamma. The most important of them is Gamma(c) consisting of those functions which have the second coefficients of the Taylor expansion fixed and equal to c. We obtain the Koebe set for this class as well as for the classes Gamma(+)(c) and Gamma (c) of functions which are in some sense convex in the direction of positive and negative axes respectively. (C) 2011 Elsevier Inc. All rights reserved.

On functions convex in the direction of the real axis with a fixed second coefficient