Korean Journal of Mathematics

  • 제27권4호
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  • Pages.1027-1041
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  • 2019
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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SHARPENED FORMS OF ANALYTIC FUNCTIONS CONCERNED WITH HANKEL DETERMINANT

  • 투고 : 2019.06.12
  • 심사 : 2019.09.30
  • 발행 : 2019.12.30
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초록

In this paper, we present a Schwarz lemma at the boundary for analytic functions at the unit disc, which generalizes classical Schwarz lemma for bounded analytic functions. For new inequalities, the results of Jack's lemma and Hankel determinant were used. We will get a sharp upper bound for Hankel determinant H2(1). Also, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.

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참고문헌

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피인용 문헌

  1. BOUNDS OF HANKEL DETERMINANTS FOR ANALYTIC FUNCTION vol.28, pp.4, 2019, https://doi.org/10.11568/kjm.2020.28.4.699