참고문헌
- T. A. Azeroglu and B. N. Ornek, A refined Schwarz inequality on the boundary, Complex Var. Elliptic Equ., 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
- D. M Burns and S. G. Krantz, Rigidity of holomorphic mappings and a new Schwarz Lemma at the boundary J. Amer. Math. Soc., 7(1994), 661-676. https://doi.org/10.1090/S0894-0347-1994-1242454-2
- D. Chelst, A generalized Schwarz lemma at the boundary, Proc. Amer. Math. Soc., 129(2001), 3275-3278. https://doi.org/10.1090/S0002-9939-01-06144-5
- V. N. Dubinin, On 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, Translations of Mathematical Monographs 26, American Mathematical Society, Providence, R.I., 1969.
-
I. S. Jack, Functions starlike and convex of order
${\alpha}$ , J. London Math. Soc., 3(1971), 469-474. https://doi.org/10.1112/jlms/s2-3.3.469 - M. Jeong, The Schwarz lemma and its application at a boundary point, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., 21(2014), 219-227.
- M. Mateljevic, Hyperbolic geometry and Schwarz lemma, Symposium MATHEMATICS AND APPLICATIONS, Vol. VI(1), Faculty of Mathematics, University of Belgrade, 2015.
- M. Mateljevic, Schwarz lemma, the Caratheodory and Kobayashi metrics and applications in cmplex analysis, XIX GEOMETRICAL SEMINAR, At Zlatibor., (2016), 1-12.
- M. Mateljevic, Rigidity of holomorphic mappings, Schwarz and Jack lemma, DOI:10.13140/RG.2.2.34140.90249.
- P. R. Mercer, Sharpened versions of the Schwarz lemma, J. Math. Anal. Appl., 205(1997), 508-511. https://doi.org/10.1006/jmaa.1997.5217
- P. R. Mercer, Boundary Schwarz inequalities arising from Rogosinski's lemma, J. Class. Anal., 12(2018), 93-97. https://doi.org/10.7153/jca-2018-12-08
- R. Singh and S. Singh, Some sufficient conditions for univalence and starlikeness, Colloq. Math., 47(1982), 309-314. https://doi.org/10.4064/cm-47-2-309-314
- B. N. Ornek, Sharpened forms of the Schwarz lemma on the boundary, Bull. Korean Math. Soc., 50(2013), 2053-2059. https://doi.org/10.4134/BKMS.2013.50.6.2053
- B. N. Ornek, Inequalities for the non-tangential derivative at the boundary for holomorphic function, Commun. Korean Math. Soc., 29(2014), 439-449. https://doi.org/10.4134/CKMS.2014.29.3.439
- B. N. Ornek, Inequalities for the angular derivatives of certain classes of holomorphic functions in the unit disc, Bull. Korean Math. Soc., 53(2016), 325-334. https://doi.org/10.4134/BKMS.2016.53.2.325
- B. N. Ornek, Estimates for holomorphic functions concerned with Jack's lemma, Publ. Inst. Math., 104(118)(2018), 231-240. https://doi.org/10.2298/PIM1818231O
- 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
- Ch. Pommerenke, Boundary Behaviour of Conformal Maps, Springer-Verlag, Berlin, 1992.