On certain subclasses of analytic functions associated with the Carlson–Shaffer operator
Jagannath Patel, Ashok Kumar Sahoo (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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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 of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass of and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.