Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Coefficient Inequality for Transforms of Starlike and Convex Functions with Respect to Symmetric Points

  • Received : 2014.01.02
  • Accepted : 2014.10.30
  • Published : 2015.06.23
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Abstract

The objective of this paper is to obtain sharp upper bound for the second Hankel functional associated with the $k^{th}$ root transform $[f(z^k)]^{\frac{1}{k}}$ of normalized analytic function f(z) when it belongs to the class of starlike and convex functions with respect to symmetric points, defined on the open unit disc in the complex plane, using Toeplitz determinants.

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References

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