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Estimates for analytic functions associated with Schwarz lemma on the boundary

Bulent Nafi Ornek|Aysan Kaynakkan
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.06|한국수학논문집 (Korean Journal of Mathematics)|제30권 제2호|pp. 351-360

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키워드

Analytic functionSchwarz lemmaJulia-Wolff lemmaAngular derivative.
주제분류수학

초록

In this paper, we will introduce the class of analytic functions called $ \mathcal{R}\left( \alpha ,\lambda \right) $ and explore the different 5properties of the functions belonging to this class.

Abstract

In this paper, we will introduce the class of analytic functions called $ \mathcal{R}\left( \alpha ,\lambda \right) $ and explore the different 5properties of the functions belonging to this class.

참고문헌 (15)

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  3. H. P. Boas, "Julius and Julia: Mastering the Art of the Schwarz lemma", Amer. Math. Monthly, 117, pp.770~785 (2010)
  4. V. N. Dubinin, "The Schwarz inequality on the boundary for functions regular in the disc", J. Math. Sci, 122, pp.3623~3629 (2004)
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  6. M. Mateljevi´c, "Schwarz Lemma, and Distortion for Harmonic Functions Via Length and Area", Potential Analysis, 53, pp.1165~1190 (2020)
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  8. P. R. Mercer, "Boundary Schwarz inequalities arising from Rogosinski’s lemma", Journal of Classical Analysis, 12, pp.93~97 (2018)
  9. P. R. Mercer, "An improved Schwarz Lemma at the boundary", Open Mathematics, 16, pp.1140~1144 (2018)
  10. R. Osserman, "A sharp Schwarz inequality on the boundary", Proc. Amer. Math. Soc, 128, pp.3513~3517 (2000)
  11. Bulent Nafi Ornek, "On bounds for the derivative of analytic functions at the boundary", 한국수학논문집, 29(4), pp.785~800 (2021), 강원경기수학회
  12. B. N. Ornek, "Boundary Analysis for the Derivative of Driving Point Impedance Functions", IEEE Transactions on Circuits and Systems II, 65(9), pp.1149~1153 (2018)
  13. B. N. Ornek, "On Boundary Analysis for Derivative of Driving Point Impedance Functions and Its Circuit Applications", IET Circuits, Systems and Devices, 13(2), pp.145~152 (2019)
  14. Ch. Pommerenke, "Boundary Behaviour of Conformal Maps" (1992), Springer-Verlag
  15. H. Unkelbach, "Uber die Randverzerrung bei konformer Abbildung", Math. Z, 43, pp.739~742 (1938)

관련 논문AI추천

Results associated with the Schwarz lemma on the boundaryBulent Nafi Ornek대한수학회 · 대한수학회논문집2023 · 제38권 제2호On a Class of Analytic Function related to Schwarz LemmaBülent Nafi ÖRNEK한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제1호Sharpened forms of the Schwarz lemma on the boundaryBulent Nafi Ornek대한수학회 · 대한수학회보2013 · 제50권 제6호Estimates for a Certain Subclass of Holomorphic FunctionsBÜLENT NAFI ÖRNEK, TUĞBA AKYEL한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제2호On bounds for the derivative of analytic functions at the boundaryBulent Nafi Ornek, Tugba Akyel강원경기수학회 · 한국수학논문집2021 · 제29권 제4호A SHARP SCHWARZ LEMMA AT THE BOUNDARYBülent Nafi ÖRNEK, Tuğba AKYEL한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제3호

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