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http://dx.doi.org/10.7468/jksmeb.2015.22.3.263

A SHARP SCHWARZ LEMMA AT THE BOUNDARY  

AKYEL, TUGBA (DEPARTMENT OF MATHEMATICS, GEBZE TECHNICAL UNIVERSITY)
ORNEK, NAFI (DEPARTMENT OF MATHEMATICS, GEBZE TECHNICAL UNIVERSITY)
Publication Information
The Pure and Applied Mathematics / v.22, no.3, 2015 , pp. 263-273 More about this Journal
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;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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