• 제목/요약/키워드: closeto-convex functions

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FUNCTIONS SUBORDINATE TO THE EXPONENTIAL FUNCTION

  • Priya G. Krishnan;Vaithiyanathan Ravichandran;Ponnaiah Saikrishnan
    • 대한수학회논문집
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    • 제38권1호
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    • pp.163-178
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    • 2023
  • We use the theory of differential subordination to explore various inequalities that are satisfied by an analytic function p defined on the unit disc so that the function p is subordinate to the function ez. These results are applied to find sufficient conditions for the normalised analytic functions f defined on the unit disc to satisfy the subordination zf'(z)/f(z) ≺ ez.