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Bohr’s Phenomenon for Some Univalent Harmonic Functions
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The largest value of such r0 is called the Bohr radius. In this article, we find Bohr radius for some univalent harmonic mappings having different dilatations. We also compute the Bohr radius for functions that are convex in one direction.
Abstract
The largest value of such r0 is called the Bohr radius. In this article, we find Bohr radius for some univalent harmonic mappings having different dilatations. We also compute the Bohr radius for functions that are convex in one direction.
참고문헌 (11)
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- H. Bohr, "A theorem concerning power series", Proc. London Math. Soc, 2(1), pp.1~5 (1914)
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- I. R. Kayumov, "Bohr radius for locally univa-lent harmonic mappings", Math. Nachr, 291(11-12), pp.1757~1768 (2018)
- M. S. Liu, "Bohr’s phenomenon for the classes of Quasi-subordination and K-quasiregular harmonic mappings", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114(3), pp.1~15 (2020)
- Z. H. Liu, "Bohr radius for subordination and K-quasiconformal harmonic mappings", Bull. Malays. Math. Sci. Soc, 42(5), pp.2151~2168 (2019)
- Y. A. Muhanna, "Bohr’s phenomenon in subordination and bounded harmonic classes", Complex Var. Elliptic Equ, 55(11), pp.1071~1078 (2010)
- Y. A. Muhanna, "Progress in Approximation Theory and Applicable Complex Analysis", pp.269~300 (2017), Springer
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