КФУ. Карточка публикации. On the Bohr inequality with a fixed zero coefficient

КАЗАНСКИЙ
ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ

RUS

- EN
- 中文
- ES

ON THE BOHR INEQUALITY WITH A FIXED ZERO COEFFICIENT

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2019

Авторы, сотрудники КФУ

Каюмов Ильгиз Рифатович, автор

Другие авторы

Поннусами С.

Библиографическое описание на языке оригинала

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.

Аннотация

Proc. Amer. Math. Soc.

Ключевые слова

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

Название журнала

Proc. Amer. Math. Soc.

Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку

https://repository.kpfu.ru/?p_id=231963

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Каюмов Ильгиз Рифатович	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/?p_id=231963	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	Статьи в зарубежных журналах и сборниках	ru_RU