Bohr radius for subordinating families of analytic functions and bounded harmonic mappings
By Y. Abu Muhanna, Rosihan M. Ali, Zhen Chuan Ng, S. Hasni. 2014
93 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c2f6c8a5ad11baeee314f9a8a2320e762c0ac71e
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In Applied Mathematics
- V. Allu
- H. Halder
- Rosihan M. Ali
- A. Solynin
- Roger W. Barnard
- Zhen Chuan Ng
- Zayid Abdulhadi
- Saminathan Ponnusamy
In Geometry and Topology
In Mathematical Physics
- V. Allu
- H. Halder
- A. Solynin
- Roger W. Barnard
- Rosihan M. Ali
- Zhen Chuan Ng
- Zayid Abdulhadi
- Saminathan Ponnusamy
Citations in the corpus
- Bohr radius for certain classes of starlike and convex univalent functions (2020, background): “F. For a convex domain Ω, Aizenberg [7] has shown that rΩ coincides with the classical Bohr radius 1/3. Bohr phenomenon for harmonic mappings has also been extensively studied by several authors (see [4, 11, 17, 23, 24, 26, 30]). For more information about Bohr phenomenon stated above and further re”
- The Bohr radius for starlike logharmonic mappings (2016, background): “In two recent papers,[20,21] the Bohr inequality was investigated for being the exterior of a compact convex set or concave wedges.”
- Bohr phenomenon for certain subclasses of harmonic mappings (2020, background): “he largest radius rG = 3 − 2 √ 2 for any proper simply connected domain G. In [6], the existance of Bohr phenomenon for the class of holomorphic functions on complex manifold has been established. In [4], the Bohr phenomenon for mappings from D into the wedge-domain Wα = {w : |argw| < πα/2,1 ≤ α ”
- A note on Bohr's phenomenon for power series (2017, methodology): “In the special case when a0 = f(0) is real and positive, this theorem was proved in [4].”