Multidimensional analogues of refined Bohr’s inequality
By Ming-Sheng Liu, Saminathan Ponnusamy. 2020
87 citations recorded by the source corpus.
Abstract. In this paper, we first establish a version of multidimensional analogues of the refined Bohr’s inequality. Then we establish two versions of multidimensional analogues of improved Bohr’s inequality with initial coefficient being zero. Finally we establish two versions of multidimensional analogues of improved Bohr’s inequality with the initial coefficient being replaced by absolute value of the function, and to prove that most of the results are sharp.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8d01b0a601d7704654b0169db9bb4e06d262adf7
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Bohr phenomenon for certain subclasses of harmonic mappings (2020, background): “In 2021, Liu and Ponnusamy [27] established a version of the multidimensional analogue of the re ned Bohr inequality as well as improved Bohr inequality with initial coe cient being zero.”