On certain subclasses of analytic functions associated with the Carlson–Shaffer operator

Jagannath Patel ; Ashok Kumar Sahoo

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 68 (2014), / Harvested from The Polish Digital Mathematics Library

Résumé

The object of the present paper is to solve Fekete-Szego problem and determine the sharp upper bound to the second Hankel determinant for a certain class $R^{\lambda }(a,c,A,B)$ of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass $\widetilde{R}^{\lambda }(a,c, A,B)$ of $R^{\lambda }(a,c,A,B)$ and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.

Détail

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:289829

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