Uniqueness part of Schwarz lemma for driving point impedance functions
Filomat, Tome 34 (2020) no. 9, p. 2953
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In this paper, a boundary version of the uniqueness part of the Schwarz lemma for driving point impedance functions has been investigated. Also, more general results have been obtained for a different version of the Burns-Krantz uniqueness theorem. In these results, as different from the Burns-Krantz theorem, only the boundary points have been used as the conditions on the function. Also, more general majorants will be taken instead of power majorants in (1.1).
Classification :
30C80, 32A10
Keywords: Analytic function, Schwarz lemma, Driving point impedance functions
Keywords: Analytic function, Schwarz lemma, Driving point impedance functions
Bülent Nafi Örnek; Timur Düzenli. Uniqueness part of Schwarz lemma for driving point impedance functions. Filomat, Tome 34 (2020) no. 9, p. 2953 . doi: 10.2298/FIL2009953O
@article{10_2298_FIL2009953O,
author = {B\"ulent Nafi \"Ornek and Timur D\"uzenli},
title = {Uniqueness part of {Schwarz} lemma for driving point impedance functions},
journal = {Filomat},
pages = {2953 },
year = {2020},
volume = {34},
number = {9},
doi = {10.2298/FIL2009953O},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009953O/}
}
TY - JOUR AU - Bülent Nafi Örnek AU - Timur Düzenli TI - Uniqueness part of Schwarz lemma for driving point impedance functions JO - Filomat PY - 2020 SP - 2953 VL - 34 IS - 9 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2009953O/ DO - 10.2298/FIL2009953O LA - en ID - 10_2298_FIL2009953O ER -
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