On a local version of Jack’s lemma-Reference-Cited by-同舟云学术

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On a local version of Jack’s lemma

Published:2019-06-01 Issue:2 Volume:27 Page:101-108
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Nunokawa Mamoru¹,Sokół Janusz²

Affiliation:

1. Chuou-Ward, Chiba , 260-0808 , Japan .

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

Abstract

Abstract The purpose of this paper is to provide a result which concerns with the boundary behavior of analytic functions. It may be a local version of the well known Jack’s lemma when we change the function normalization at the origin.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0021

Reference9 articles.

1. [1] I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3(1971) 469–474.

2. [2] S. S. Miller, P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J. 28(1981) 151–171.

3. [3] S. S. Miller, P. T. Mocanu, On some classes of first order differential subordinations and univalent functions, Michigan Math. J. 32(1985) 185–195.

4. [4] S. S. Miller, P. T. Mocanu, Differential Subordinations: Theory and Applications, Series of Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker Inc., New York / Basel 2000.

5. [5] M. Nunokawa, On Properties of Non-Carathéodory Functions, Proc. Japan Acad. Ser. A 68(6)(1992) 152–153.

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