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On sufficient condition to be in a certain subclass of starlike functions defined by subordination
- Source :
-
Applied Mathematics & Computation . Jul2007, Vol. 190 Issue 1, p237-241. 5p. - Publication Year :
- 2007
-
Abstract
- Abstract: An interesting criterion was given by Tuneski [N. Tuneski, On the quotient of the representations of convexity and starlikeness, Math. Nachr. 248–249 (2003) 200–203] for the analytic functions to be in the class and its subclasses, where . This result is an extension of an earlier result of Silverman [H. Silverman, Convex and starlike criteria, Int. Math. Math. Sci. 22 (1) (1999) 75–79] for α-starlike functions. In this paper we give a generalization of main theorem contained in Tuneski (2003). Some applications involving this result are also considered. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICAL functions
*ANALYTIC functions
*TAYLOR'S series
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 190
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 25319160
- Full Text :
- https://doi.org/10.1016/j.amc.2007.01.034