KFU. Card publication. On the Bohr inequality with a fixed zero coefficient

KAZAN
FEDERAL UNIVERSITY

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ON THE BOHR INEQUALITY WITH A FIXED ZERO COEFFICIENT

Form of presentation

Articles in international journals and collections

Year of publication

2019

Authors, employees of KFU

Kayumov Ilgiz Rifatovich, author

Other authors

Ponnusami S.

Bibliographic description in the original language

In this paper, we introduce the study of the Bohr phenomenon for a quasi-subordination family of functions, and establish the classical Bohr's inequality for the class of quasisubordinate functions. As a consequence, we improve and obtain the exact version of the classical Bohr's inequality for bounded analytic functions and also for $K$-quasiconformal harmonic mappings by replacing the constant term by the absolute value of the analytic part of the given function. We also obtain the Bohr radius for the subordination family of odd analytic functions.

Annotation

Proc. Amer. Math. Soc.

Keywords

Bohr inequality, harmonic mappings, sense-preserving $K$-quasiconformal mappings, locally univalent functions, analytic functions, odd functions, $p$-symmetric functions, subordination and quasisubordination

The name of the journal

Proc. Amer. Math. Soc.

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=231963&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kayumov Ilgiz Rifatovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	In this paper, we introduce the study of the Bohr phenomenon for a quasi-subordination family of functions, and establish the classical Bohr's inequality for the class of quasisubordinate functions. As a consequence, we improve and obtain the exact version of the classical Bohr's inequality for bounded analytic functions and also for $K$-quasiconformal harmonic mappings by replacing the constant term by the absolute value of the analytic part of the given function. We also obtain the Bohr radius for the subordination family of odd analytic functions.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=231963&p_lang=2	ru_RU
dc.description.abstract	Proc. Amer. Math. Soc.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Bohr inequality	ru_RU
dc.subject	harmonic mappings	ru_RU
dc.subject	sense-preserving $K$-quasiconformal mappings	ru_RU
dc.subject	locally univalent functions	ru_RU
dc.subject	analytic functions	ru_RU
dc.subject	odd functions	ru_RU
dc.subject	$p$-symmetric functions	ru_RU
dc.subject	subordination and quasisubordination	ru_RU
dc.title	On the Bohr inequality with a fixed zero coefficient	ru_RU
dc.type	Articles in international journals and collections	ru_RU