On arclength problem for analytic functions

Let A be the class of functions g ( z ) = z + ∑ n = 2 ∞ a n z n which are analytic in the unit disk D = { z : | z | < 1 } . We denote by C ( r ,  g ) the closed curve which is the image of | z | = r < 1 under the mapping w = g ( z ) , furthermore we denote by L ( r ,  g ) the length of C ( r ,...

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Veröffentlicht in:	Analysis and mathematical physics 2023-06, Vol.13 (3), Article 45
Hauptverfasser:	Chudziak, Małgorzata, Nunokawa, Mamoru, Sokół, Janusz, Trybucka, Edyta
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Analytic functions Mathematical Methods in Physics Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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