Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Sharp Coefficient Bounds for the Quotient of Analytic Functions

  • Park, Ji Hyang (Department of Applied Mathematics, Pukyong National University) ;
  • Kumar, Virendra (Department of Applied Mathematics, Pukyong National University) ;
  • Cho, Nak Eun (Department of Applied Mathematics, Pukyong National University)
  • Received : 2017.09.22
  • Accepted : 2018.03.09
  • Published : 2018.06.23
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Abstract

We derive sharp upper bound on the initial coefficients and Hankel determinants for normalized analytic functions belonging to a class, introduced by Silverman, defined in terms of ratio of analytic representations of convex and starlike functions. A conjecture related to the coefficients for functions in this class is posed and verified for the first five coefficients.

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References

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