In this paper,we mainly use the Frechet derivative to extend the Bohr inequality with a lacunary series to the higher-dimensional space,namely,mappings from Unto U(resp.Unto Un).In addition,we discuss whether or not t...In this paper,we mainly use the Frechet derivative to extend the Bohr inequality with a lacunary series to the higher-dimensional space,namely,mappings from Unto U(resp.Unto Un).In addition,we discuss whether or not there is a constant term in f,and we obtain two redefined Bohr inequalities in Un.Finally,we redefine the Bohr inequality of the odd and even terms of the analytic function f so as to obtain conclusions for two different higher-dimensional alternating series.展开更多
In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this pap...In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this paper improve and extend the previous results of J. Tu, 2013.展开更多
基金supported by Guangdong Natural Science Foundations(2021A1515010058)。
文摘In this paper,we mainly use the Frechet derivative to extend the Bohr inequality with a lacunary series to the higher-dimensional space,namely,mappings from Unto U(resp.Unto Un).In addition,we discuss whether or not there is a constant term in f,and we obtain two redefined Bohr inequalities in Un.Finally,we redefine the Bohr inequality of the odd and even terms of the analytic function f so as to obtain conclusions for two different higher-dimensional alternating series.
基金Supported by the National Natural Science Foundation of China(Grant No.11301233)the Natural Science Foundation of Jiangxi Province(Grant No.20132BAB211002)the Youth Science Foundation of Education Bureau of Jiangxi Province(Grant No.GJJ14271)
文摘In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this paper improve and extend the previous results of J. Tu, 2013.
