Neighborhoods of Starlike and Convex Functions Associated with Parabola

Neighborhoods of Starlike and Convex Functions Associated with Parabola

Let be a normalized analytic function defined on the unit disk and for . For , a function if lies in the parabolic region . Let be the corresponding class consisting of functions such that lies in the region . For an appropriate , the -neighbourhood of a function is shown to consist of functions in...

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Veröffentlicht in:Journal of inequalities and applications 2008-01, Vol.2008 (1), p.346279
Hauptverfasser: Ali, Rosihan M., Subramanian, K. G., Ravichandran, V., Ahuja, OmP
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung:Let be a normalized analytic function defined on the unit disk and for . For , a function if lies in the parabolic region . Let be the corresponding class consisting of functions such that lies in the region . For an appropriate , the -neighbourhood of a function is shown to consist of functions in the class .
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1155/2008/346279