On a local version of Jack’s lemma

Mamoru Nunokawa; Janusz Sokół

doi:10.2478/auom-2019-0021

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On a local version of Jack’s lemma

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 27 (2019): Issue 2 (June 2019)

By: Mamoru Nunokawa and Janusz Sokół

Open Access

|Sep 2019

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.

References

[1] I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3(1971) 469–474.10.1112/jlms/s2-3.3.469
Search in Google Scholar Back to article
[2] S. S. Miller, P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J. 28(1981) 151–171.10.1307/mmj/1029002507
Search in Google Scholar Back to article
[3] S. S. Miller, P. T. Mocanu, On some classes of first order differential subordinations and univalent functions, Michigan Math. J. 32(1985) 185–195.10.1307/mmj/1029003185
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[5] M. Nunokawa, On Properties of Non-Carathéodory Functions, Proc. Japan Acad. Ser. A 68(6)(1992) 152–153.10.3792/pjaa.68.152
Search in Google Scholar Back to article
[6] M. Nunokawa, On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. Ser. A 69(7)(1993) 234–237.10.3792/pjaa.69.234
Search in Google Scholar Back to article
[7] M. Nunokawa, J. Sokół, On some geometric properties of multivalent functions, Journal of Inequalities and Applications, 2015, 2015:300.10.1186/s13660-015-0818-x
Search in Google Scholar Back to article
[8] M. Nunokawa, J. Sokół, On some differential subordinations, Studia Scient. Math. Hungarica 54(4)(2017) 1–10.10.1556/012.2017.54.4.1375
Search in Google Scholar Back to article
[9] M. Nunokawa, J. Sokół, N. E. Cho, Some applications of Nunokawa’s lemma, Bull. Malaysian Math. Sci. Soc. 40(4)(2017) 1791–1800.10.1007/s40840-016-0398-z
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/auom-2019-0021 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 101 - 108

Submitted on: Mar 1, 2018

Accepted on: Sep 24, 2018

Published on: Sep 26, 2019

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

convex,

Related subjects:

© 2019 Mamoru Nunokawa, Janusz Sokół, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 27 (2019): Issue 2 (June 2019)