대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제37권2호
  • /
  • Pages.445-454
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  • 2022
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON A FIRST ORDER STRONG DIFFERENTIAL SUBORDINATION AND APPLICATION TO UNIVALENT FUNCTIONS

  • 투고 : 2021.02.23
  • 심사 : 2021.05.06
  • 발행 : 2022.04.30
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초록

Using the concept of the strong differential subordination introduced in [2], we find conditions on the functions θ, 𝜑, G, F such that the first order strong subordination θ(p(z)) + $\frac{G(\xi)}{\xi}$zp'(z)𝜑(p(z)) ≺≺ θ(q(z)) + F(z)q'(z)𝜑(q(z), implies p(z) ≺ q(z), where p(z), q(z) are analytic functions in the open unit disk 𝔻 with p(0) = q(0). Corollaries and examples of the main results are also considered, some of which extend and improve the results obtained in [1].

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참고문헌

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