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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 1,205 - 1,215 (11page)
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초록· 키워드
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In this paper, a boundary version of the Carath\'{e}odory's inequality is investigated. We shall give an estimate below $\left\vert f^{\prime }(b)\right\vert $ according to the first nonzero Taylor coefficient of about two zeros, namely $z=0$ and $z_{1}\neq 0$. The sharpness of these estimates is also proved.
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참고문헌 (22)
참고문헌 신청
T. A. Azeroglu / 2013 / A refined Schwarz inequality on the boundary / Complex Var. Elliptic Equ 58(4):571~577
H. P. Boas / 2010 / Julius and Julia: mastering the art of the Schwarz lemma / Amer. Math. Monthly 117(9):770~785
D. M. Burns / 1994 / Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary / J. Amer. Math. Soc 7(3):661~676
D. Chelst / 2001 / A generalized Schwarz lemma at the boundary / Proc. Amer. Math. Soc 129(11):3275~3278
V. N. Dubinin / 2004 / The Schwarz inequality on the boundary for functions regular in the disc / J. Math. Sci. (N. Y.) 122(6):3623~3629
H. P. Boas / 2010 / Julius and Julia: mastering the art of the Schwarz lemma / Amer. Math. Monthly 117(9):770~785
D. M. Burns / 1994 / Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary / J. Amer. Math. Soc 7(3):661~676
D. Chelst / 2001 / A generalized Schwarz lemma at the boundary / Proc. Amer. Math. Soc 129(11):3275~3278
V. N. Dubinin / 2004 / The Schwarz inequality on the boundary for functions regular in the disc / J. Math. Sci. (N. Y.) 122(6):3623~3629
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