The Schwarzian derivative and estimates of functions analytic in the unit disc-Reference-Cited by-同舟云学术

The Schwarzian derivative and estimates of functions analytic in the unit disc

Published:1975-11 Issue:3 Volume:78 Page:501-511
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Essén Matts,Keogh F. R.

Abstract

Suppose that w is analytic in the open unit disc Δ in the z-plane. The Schwarzian derivative of w is defined by

(for basic properties of {w, z} we refer to Hille ((3), p. 375)). Let denote the class of functions w which are analytic in Δ and satisfy the conditions

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. On some sufficient conditions for univalence;Pokornyi;Doklady Akademii Nauk SSSR,1951

2. Some criteria of univalence

3. The Schwarzian derivative and schlicht functions

4. Remarks on a paper by Zeev Nehari

5. On linear, second order differential equations in the unit circle

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