Open Access Research

New subclasses of analytic functions

Basem A Frasin

Author Affiliations

Faculty of Science, Department of Mathematics, Al al-Bayt University, P.O. Box 130095, Mafraq, Jordan

Journal of Inequalities and Applications 2012, 2012:24 doi:10.1186/1029-242X-2012-24

Published: 9 February 2012

Abstract

For analytic functions f (z) in the open unit disk <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M1">View MathML</a>, subclasses <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M2">View MathML</a>, and <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M3','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M3">View MathML</a> are introduced. The object of the present article is to discuss some interesting properties of functions f (z) associated with classes <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M2">View MathML</a>, and <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M3','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/24/mathml/M3">View MathML</a>.

Mathematics Subject Classification (2010): 30C45.

Keywords:
analytic; univalent functions; Cauchy-Schwarz inequality