Estimates of the Hyperbolic Radius Gradient and Schwarz–Pick Inequalities for the Eccentric Annulus

Let Ω and Π be hyperbolic domains in the complex plane C. By A(Ω, Π) we shall designate the class of functions f which are holomorphic or meromorphic in Ω and such that f(Ω) ϲ Π. Estimates of the higher derivatives |f(n)(z)| of the analytic functions from the class A(Ω, Π) with the punishing factor...

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Bibliographic Details
Main Author: D.Kh. Giniyatova
Format: Article
Language:Russian
Published: Kazan Federal University 2016-06-01
Series:Učënye Zapiski Kazanskogo Universiteta: Seriâ Fiziko-Matematičeskie Nauki
Subjects:
Online Access:http://kpfu.ru/portal/docs/F19130283/158_2_phys_mat_2.pdf