On Certain Subclasses of Analytic Functions Involving Carlson-Shaffer Operator and Related to Lemniscate of Bernoulli

Jagannath Patel and Ashok Kumar Sahoo

Journal of Complex Analysis, 2014, vol. 2014, 1-7

Abstract:

The object of the present investigation is to solve the Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class of analytic functions involving the Carlson-Shaffer operator in the unit disk. We also obtain a sufficient condition for normalized analytic functions in the unit disk to be in this class.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:295703

DOI: 10.1155/2014/295703

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