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Generalization of certain subclasses of multivalent functions with negative coefficients defined by using a differential operator
- Source :
-
Mathematical & Computer Modelling . Nov2009, Vol. 50 Issue 9/10, p1367-1378. 12p. - Publication Year :
- 2009
-
Abstract
- Abstract: Making use of a differential operator, we introduce and study a certain class of -valently analytic functions with negative coefficients. In this paper, we obtain numerous sharp results including (for example ) coefficient estimates, distortion theorem, radii of close-to convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class . Finally, several applications investigate an integral operator, and certain fractional calculus operators are also considered. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08957177
- Volume :
- 50
- Issue :
- 9/10
- Database :
- Academic Search Index
- Journal :
- Mathematical & Computer Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 44470829
- Full Text :
- https://doi.org/10.1016/j.mcm.2008.08.026