대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권1호
  • /
  • Pages.163-178
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  • 2023
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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FUNCTIONS SUBORDINATE TO THE EXPONENTIAL FUNCTION

  • Priya G. Krishnan (Department of Mathematics National Institute of Technology) ;
  • Vaithiyanathan Ravichandran (Department of Mathematics National Institute of Technology) ;
  • Ponnaiah Saikrishnan (Department of Mathematics National Institute of Technology)
  • 투고 : 2022.03.29
  • 심사 : 2022.06.15
  • 발행 : 2023.01.31
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초록

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.

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과제정보

The first author is supported by Junior Research Fellowship from University Grants Commission, New Delhi.

참고문헌

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