A SHARP SCHWARZ LEMMA AT THE BOUNDARY

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

2015, v.22 no.3, pp.263-273

https://doi.org/10.7468/jksmeb.2015.22.3.263

AKYEL, TUGBA (DEPARTMENT OF MATHEMATICS, GEBZE TECHNICAL UNIVERSITY)
ORNEK, NAFI (DEPARTMENT OF MATHEMATICS, GEBZE TECHNICAL UNIVERSITY)

AKYEL, TUGBA, & ORNEK, NAFI. (2015). A SHARP SCHWARZ LEMMA AT THE BOUNDARY. 한국수학교육학회지시리즈B:순수및응용수학, 22(3), 263-273, https://doi.org/10.7468/jksmeb.2015.22.3.263

복사

Abstract

In this paper, a boundary version of Schwarz lemma is investigated. For the function holomorphic f(z) = a + cpzp + cp+1zp+1 + ... defined in the unit disc satisfying |f(z) − 1| < 1, where 0 < a < 2, we estimate a module of angular derivative at the boundary point b, f(b) = 2, by taking into account their first nonzero two Maclaurin coefficients. The sharpness of these estimates is also proved.

keywords: Schwarz lemma on the boundary, angular limit and derivative, Julia-Wolff-Lemma, holomorphic function

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논문 상세

Vol.22 No.3

A SHARP SCHWARZ LEMMA AT THE BOUNDARY

A SHARP SCHWARZ LEMMA AT THE BOUNDARY

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학