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- W2952693142 abstract "Let $mathcal{S}_H^0$ denote the class of all functions $f(z)=h(z)+overline{g(z)}=z+sum^infty_{n=2} a_nz^n +overline{sum^infty_{n=2} b_nz^n}$ that are sense-preserving, harmonic and univalent in the open unit disk $|z|<1$. The coefficient conjecture for $mathcal{S}_H^0$ is still emph{open} even for $|a_2|$. The aim of this paper is to show that if $f=h+overline{g} in mathcal{S}^0_H$ then $ |a_n| < 5.24 times 10^{-6} n^{17}$ and $|b_n| < 2.32 times 10^{-7}n^{17}$ for all $n geq 3$. Making use of these coefficient estimates, we also obtain radius of univalence of sections of univalent harmonic mappings." @default.
- W2952693142 created "2019-06-27" @default.
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- W2952693142 date "2017-03-07" @default.
- W2952693142 modified "2023-09-27" @default.
- W2952693142 title "Coefficients of univalent harmonic mappings" @default.
- W2952693142 hasPublicationYear "2017" @default.
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