Bohr phenomenon for subordinating families of certain univalent functions
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Publication:1746650
DOI10.1016/j.jmaa.2018.01.035zbMath1391.30003OpenAlexW2790112409MaRDI QIDQ1746650
Bappaditya Bhowmik, Nilanjan Das
Publication date: 25 April 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.035
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Power series (including lacunary series) in one complex variable (30B10)
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Cites Work
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- Geometric studies on the class \(\mathcal U(\lambda)\)
- A note on Bohr's phenomenon for power series
- Bohr's phenomenon for analytic functions into the exterior of a compact convex body
- On a conjecture of Goodman concerning meromorphic univalent functions
- Concave schlicht functions with bounded opening angle at infinity
- Remarks on the Bohr phenomenon
- Bohr radius for subordinating families of analytic functions and bounded harmonic mappings
- On the growth of analytic functions in the class \({\mathcal {U}}(\lambda)\)
- On a subclass of meromorphic univalent functions
- Bohr's phenomenon in subordination and bounded harmonic classes
- EXTENSIONS OF BOHR'S INEQUALITY
- A proof of the Livingston conjecture
- Generalization of results about the Bohr radius for power series
- Bohr’s power series theorem in several variables
- Sufficient conditions for univalence and study of a class of meromorphic univalent functions
- Bohr’s inequality for uniform algebras
- Multidimensional analogues of Bohr’s theorem on power series
- On the Bohr Inequality
- Schwarz-Pick Type Inequalities
- On concave univalent functions
- On concave univalent functions
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