Bohr's phenomenon in subordination and bounded harmonic classes

By Y. Abu Muhanna. 2010

156 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/86c1e3ae2e96c77049a10aacab4c9d2af4789299

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Bohr Radius for Subordination and K-quasiconformal Harmonic Mappings (2019, unknown): “Theorem 3 for k = 0 reduces to a result of Abu-Muhanna [1] with the sharp Bohr radius as 3− 2 √ 2 = 0.”
Bohr--Rogosinski radius for analytic functions (2017, background): “The notion of Bohr’s radius, initially defined for analytic functions from the unit disk D into D, was generalized by authors to include mappings from D to some other domains Ω in D ( [1,2,4]).”
A note on Bohr's phenomenon for power series (2017, background): “The first lemma follows from a well-known result of Y. Abu-Muhanna and D. Hallenberg [2] on subordination of functions mapping the unit disk into domains having convex complement, which contains the origin.”
The Bohr radius for starlike logharmonic mappings (2016, unknown): “[30] Abu-Muhanna Y, Lyzzaik A.”
Sharp Bohr type inequality (2020, background): “It is worth pointing out that the notion of Bohr’s radius, initially defined for analytic functions from the unit disk D into D, was generalized by authors to include mappings from D to some other domains Ω in D ( [1, 2, 5]).”
Improved Bohr's phenomenon in quasi-subordination classes (2019, methodology): “We observe that the number 1 − |f(0)| is the distance from the point f(0) to the boundary ∂D of the unit disk D and thus, we use this “distance form” formulation to generalize the concept of the Bohr radius for the class of functions f analytic in D which take values in a given simply connected doma”