International Journal of Mathematics and Mathematical Sciences (Jan 2014)

On a Subclass of Analytic Functions Related to a Hyperbola

  • Jagannath Patel,
  • Ashok Kumar Sahoo

DOI
https://doi.org/10.1155/2014/570361
Journal volume & issue
Vol. 2014

Abstract

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The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class ℛ̃(a,c,ρ) of analytic functions in the unit disk. We also obtain a sufficient condition for an analytic function to be in this class.