대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제32권1호
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  • Pages.93-106
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  • 2017
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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STARLIKENESS AND SCHWARZIAN DERIVATIVES OF HIGHER ORDER OF ANALYTIC FUNCTIONS

  • 투고 : 2016.03.21
  • 발행 : 2017.01.31
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초록

In this paper we apply the third-order differential subordination results to normalized analytic functions in the open unit disk. We obtain appropriate classes of admissible functions and find some sufficient conditions of functions to be starlike associated with Tamanoi's Schwarzian derivative of third order. Several interesting examples are also discussed.

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참고문헌

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피인용 문헌

  1. Sharp Bounds on the Higher Order Schwarzian Derivatives for Janowski Classes vol.10, pp.8, 2018, https://doi.org/10.3390/sym10080348