Length problems for Bazilevič functions-Reference-Cited by-同舟云学术

Length problems for Bazilevič functions

Published:2019-01-01 Issue:1 Volume:52 Page:56-60
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Nunokawa Mamoru¹,Sokół Janusz²,Tang Huo³

Affiliation:

1. University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba , 260-0808, Japan

2. University of Rzeszów, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 Rzeszów , Poland

3. School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia , China

Abstract

Abstract Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r). Furthermore M(r) = max|z|=r |f (z)|.We present some relations between these notions for Bazilevič functions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0007/pdf

Reference22 articles.

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