참고문헌
- T. Akyel and B. N. Ornek, Sharpened forms of the Generalized Schwarz inequality on the boundary, Proc. Indian Acad. Sci. (Math. Sci.), 126 (1) (2016), 69-78. https://doi.org/10.1007/s12044-015-0255-2
- T. A. Azeroglu and B. N. Ornek, A refined Schwarz inequality on the boundary, Complex Variab. Elliptic Equa. 58 (2013), 571-577. https://doi.org/10.1080/17476933.2012.718338
- H. P. Boas, Julius and Julia: Mastering the Art of the Schwarz lemma, Amer. Math. Monthly 117 (2010), 770-785. https://doi.org/10.4169/000298910x521643
- V. N. Dubinin, The Schwarz inequality on the boundary for functions regular in the disc, J. Math. Sci. 122 (2004), 3623-3629. https://doi.org/10.1023/B:JOTH.0000035237.43977.39
- G. M. Golusin, Geometric Theory of Functions of Complex Variable [in Russian], 2nd edn., Moscow 1966.
- I. S. Jack, Functions starlike and convex of order α. J. London Math. Soc. 3 (1971), 469-474. https://doi.org/10.1112/jlms/s2-3.3.469
- M. Mateljevic, textitRigidity of holomorphic mappings & Schwarz and Jack lemma, DOI:10.13140/RG.2.2.34140.90249, In press.
- P. R. Mercer, Sharpened Versions of the Schwarz Lemma, Journal of Mathematical Analysis and Applications 205 (1997), 508-511. https://doi.org/10.1006/jmaa.1997.5217
- P. R. Mercer, Boundary Schwarz inequalities arising from Rogosinski's lemma, Journal of Classical Analysis 12 (2018), 93-97. https://doi.org/10.7153/jca-2018-12-08
- P. R. Mercer, An improved Schwarz Lemma at the boundary, Open Mathematics 16 (2018) 1140-1144. https://doi.org/10.1515/math-2018-0096
- R. Osserman, A sharp Schwarz inequality on the boundary, Proc. Amer. Math. Soc. 128 (2000) 3513-3517. https://doi.org/10.1090/S0002-9939-00-05463-0
- B. N. Ornek, Sharpened forms of analytic functions concerned with Hankel determinant, Korean J. Math. 27 (4) (2019), 1027-1041. https://doi.org/10.11568/kjm.2019.27.4.1027
- B. N. Ornek and T. Duzenli, Boundary Analysis for the Derivative of Driving Point Impedance Functions, IEEE Transactions on Circuits and Systems II: Express Briefs 65 (9) (2018), 1149-1153. https://doi.org/10.1109/tcsii.2018.2809539
- B. N. Ornek and T. Duzenli, On Boundary Analysis for Derivative of Driving Point Impedance Functions and Its Circuit Applications, IET Circuits, Systems and Devices, 13 (2) (2019), 145-152. https://doi.org/10.1049/iet-cds.2018.5123
- Ch. Pommerenke, Boundary Behaviour of Conformal Maps, Springer-Verlag, Berlin. 1992.
- Ch. Pommerenke, On the Hankel determinants of univalent functions, Mathematika 14 (1967), 108-112. https://doi.org/10.1112/S002557930000807X
- J. Sokol and D. K. Thomas, The second Hankel determinant for alpha-convex functions, Lithuanian Mathematical Journal, DOI 10.1007/s10986-018-9397-0, In press.
- G. Szego and M. Fekete, Eine Bemerkung Uber Ungerade Schlichte Funktionen, J. Lond. Math. Soc. 2 (1933), 85-89 https://doi.org/10.1112/jlms/s1-8.2.85
- D. K. Thomas and J. W. Noonan, On the second Hankel determinant of areally mean p-valent functions, Trans. Amer. Math. Soc. 223 (1976), 337-346. https://doi.org/10.1090/S0002-9947-1976-0422607-9