SOME FAMILIES OF MULTIVALENTLY ANALYTIC-FUNCTIONS WITH NEGATIVE COEFFICIENTS

Citation
Mp. Chen et al., SOME FAMILIES OF MULTIVALENTLY ANALYTIC-FUNCTIONS WITH NEGATIVE COEFFICIENTS, Journal of mathematical analysis and applications, 214(2), 1997, pp. 674-690
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
214
Issue
2
Year of publication
1997
Pages
674 - 690
Database
ISI
SICI code
0022-247X(1997)214:2<674:SFOMAW>2.0.ZU;2-Q
Abstract
The authors introduce and study three novel subclasses of analytic and p-valent functions with negative coefficients. In addition to finding a necessary and sufficient condition for a function to belong to each of these subclasses, a number of other potentially useful properties and characteristics of functions in these subclasses are obtained. Fin ally, several applications involving an integral operator and certain fractional calculus operators are also considered. (C) 1997 Academic P ress.