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

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  • Jagannath Patel
  • Ashok Kumar Sahoo

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.

Suggested Citation

  • Jagannath Patel & Ashok Kumar Sahoo, 2014. "On Certain Subclasses of Analytic Functions Involving Carlson-Shaffer Operator and Related to Lemniscate of Bernoulli," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-7, December.
    • Handle: RePEc:hin:jnljca:295703
    DOI: 10.1155/2014/295703
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