• 제목/요약/키워드: Loewner chain

검색결과 2건 처리시간 0.013초

DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS

  • Al-Kharsani, Huda A.;Baricz, Arpad;Nisar, Kottakkaran S.
    • 대한수학회보
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    • 제53권1호
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    • pp.127-138
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    • 2016
  • Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

SOME NOTES ON EXTENSIONS OF BASIC UNIVALENCE CRITERIA

  • Deniz, Erhan;Orhan, Halit
    • 대한수학회지
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    • 제48권1호
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    • pp.179-189
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    • 2011
  • The object of the present paper is to obtain a more general condition for univalence of analytic functions in the open unit disk U. The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.