BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC

Ornek, Bulent Nafi; Ornek, Bulent Nafi

doi:10.7468/jksmeb.2017.24.3.129

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오늘 하루 그만보기

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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ISSN : 1226-0657

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Vol.24 No.3

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BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2017, v.24 no.3, pp.129-145

https://doi.org/10.7468/jksmeb.2017.24.3.129

Ornek, Bulent Nafi (Department of Computer Engineering, Amasya University)

Ornek, Bulent Nafi. (2017). BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC. 한국수학교육학회지시리즈B:순수및응용수학, 24(3), 129-145, https://doi.org/10.7468/jksmeb.2017.24.3.129

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Abstract

In this paper, we establish lower estimates for the modulus of the non-tangential derivative of the holomorphic functionf(z) at the boundary of the unit disc. Also, we shall give an estimate below |f''(b)| according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and <TEX>$z_0{\neq}0$</TEX>.

keywords: Schwarz lemma on the boundary, holomorphic function, second non-tangential derivative, Jack's lemma

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논문 상세

Vol.24 No.3

BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC

BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC

Abstract

한국수학교육학회지시리즈B:순수및응용수학