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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.10
- 수록면
- 743 - 757 (15page)
- DOI
- 10.4134/CKMS.c200336
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초록· 키워드
오류제보하기
We consider a different version of Schwarz Lemma for $\lambda$-spirallike function of complex order at the boundary of the unit disc $D.$ We estimate the modulus of the angular derivative of the function $\frac{zf'(z)}{f(z)}$ from below for $\lambda$-spirallike function $f(z)$ of complex order at the boundary of the unit disc $D$ by taking into account the zeros of the function $f(z)-z$ which are different from zero. We also estimate the same function with the second derivatives of the function $f$ at the points $z=0$ and $z=z_0\neq 0.$ We show the sharpness of these estimates and present examples.
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참고문헌 (19)
참고문헌 신청
T. Akyel / 2020 / Sharpened forms for λ-spirallike function of complex order on the boundary / AIP Conference Proceedings of the Fourth International Conference of Mathematical Sciences (ICMS 2020)
F. M. Al-Oboudi / 2001 / Spirallike functions of complex order / J. Nat. Geom 19(1-2):53~72
T. Aliyev Azeroˇglu / 2013 / A refined Schwarz inequality on the boundary / Complex Var. Elliptic Equ 58(4):571~577
Harold P. Boas / 2010 / Julius and Julia: Mastering the Art of the Schwarz Lemma / The American Mathematical Monthly 117(9):770~785
V. N. Dubinin / 2004 / The Schwarz Inequality on the Boundary for Functions Regular in the Disk / Journal of Mathematical Sciences 122(6):3623~3629
F. M. Al-Oboudi / 2001 / Spirallike functions of complex order / J. Nat. Geom 19(1-2):53~72
T. Aliyev Azeroˇglu / 2013 / A refined Schwarz inequality on the boundary / Complex Var. Elliptic Equ 58(4):571~577
Harold P. Boas / 2010 / Julius and Julia: Mastering the Art of the Schwarz Lemma / The American Mathematical Monthly 117(9):770~785
V. N. Dubinin / 2004 / The Schwarz Inequality on the Boundary for Functions Regular in the Disk / Journal of Mathematical Sciences 122(6):3623~3629
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