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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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Ornek,, B. N. (2017). BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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