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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.10
- 수록면
- 715 - 727 (13page)
- DOI
- 10.4134/CKMS.c200313
이용수
초록· 키워드
오류제보하기
In this paper, we give some results an upper bound of Hankel determinant of $H_{2}(1)$ for the classes of $\mathcal{N}\left( \mathcal{\alpha }\right) $. We get a sharp upper bound for $H_{2}(1)=c_{3}-c_{2}^{2}$ for $\mathcal{N}\left( \mathcal{\alpha }\right) $ by adding $z_{1},z_{2},\ldots,z_{n}$ zeros of $f(z)$ which are different than zero. Moreover, 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. Finally, the sharpness of the inequalities obtained in the presented theorems are proved.
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참고문헌 (21)
참고문헌 신청
Tuğba Akyel / 2017 / Some remarks on Schwarz lemma at the boundary / Filomat 31(13):4139~4151
T. Aliyev Azeroǧlu / 2012 / A refined Schwarz inequality on the boundary / Complex Variables and Elliptic Equations 58(4):571~577
Harold P. Boas / 2010 / Julius and Julia: Mastering the Art of the Schwarz Lemma / The American Mathematical Monthly 117(9):770
V. N. Dubinin / 2004 / The Schwarz Inequality on the Boundary for Functions Regular in the Disk / Journal of Mathematical Sciences 122(6):3623~3629
M. Fekete / 1933 / Eine Bemerkung Uber Ungerade Schlichte Funktionen / J. London Math. Soc 8(2):85~89
T. Aliyev Azeroǧlu / 2012 / A refined Schwarz inequality on the boundary / Complex Variables and Elliptic Equations 58(4):571~577
Harold P. Boas / 2010 / Julius and Julia: Mastering the Art of the Schwarz Lemma / The American Mathematical Monthly 117(9):770
V. N. Dubinin / 2004 / The Schwarz Inequality on the Boundary for Functions Regular in the Disk / Journal of Mathematical Sciences 122(6):3623~3629
M. Fekete / 1933 / Eine Bemerkung Uber Ungerade Schlichte Funktionen / J. London Math. Soc 8(2):85~89
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