Some Bohr-type inequalities for several subclasses of harmonic functions
Jianying Zhou, Wanqing Hou, Boyong Long
TL;DR
This paper establishes sharp Bohr-type inequalities for various subclasses of harmonic functions defined on the unit disk, expanding the understanding of their coefficient bounds and functional behavior.
Contribution
It introduces new sharp Bohr inequalities specifically tailored for certain subclasses of harmonic functions, which were not previously studied in this context.
Findings
Derived sharp Bohr inequalities for harmonic function subclasses
Extended classical Bohr inequalities to harmonic functions
Provided optimal bounds demonstrating the inequalities' sharpness
Abstract
In this article, Bohr type inequalities for some complex valued harmonic functions defined on the unit disk are given. All the results are sharp.
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Taxonomy
TopicsMathematical Approximation and Integration · Numerical methods in inverse problems · Differential Equations and Boundary Problems