AN IMPROVED LOWER BOUND FOR 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

2016, v.23 no.1, pp.61-72

https://doi.org/10.7468/jksmeb.2016.23.1.61

ORNEK, BULENT NAFI (DEPARTMENT OF COMPUTER ENGINEERING, AMASYA UNIVERSITY)
AKYEL, TUGBA (DEPARTMENT OF MATHEMATICS, GEBZE TECHNICAL UNIVERSITY)

ORNEK, BULENT NAFI, & AKYEL, TUGBA. (2016). AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARY. 한국수학교육학회지시리즈B:순수및응용수학, 23(1), 61-72, https://doi.org/10.7468/jksmeb.2016.23.1.61

복사

Abstract

In this paper, a boundary version of the Schwarz lemma for the holom- rophic function satisfying f(a) = b, |a| < 1, b ∈ ℂ and ℜf(z) > α, 0 ≤ α < |b| for |z| < 1 is invetigated. Also, we estimate a modulus of the angular derivative of f(z) function at the boundary point c with ℜf(c) = a. The sharpness of these inequalities is also proved.

keywords: angular derivative, holomorphic function, Schwarz lemma on the boundary

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논문 상세

Vol.23 No.1

AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARY

AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARY

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학