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- W3099830953 abstract "Let $f$ be function that is analytic in the unit disk ${mathbb D}={z:|z|<1}$, normalized such that $f(0)=f'(0)-1=0$, i.e., of type $f(z)=z+sum_{n=2}^{infty} a_n z^n$. If additionally, [ left| left(frac{z}{f(z)}right)^2 f'(z) -1right|<lambda quadquad (zin{mathbb D}), ] then $f$ belongs to the class ${mathcal U}(lambda)$, $0<lambdale1$. In this paper we prove sharp upper bound of the modulus of the fifth coefficient of $f$ from ${mathcal U}(lambda)$ satisfying [ frac{f(z)}{z}prec frac{1}{(1+z)(1+lambda z)}, ] ($prec$ is the usual subordination) in the case when $0.400436ldots lelambdale1$." @default.
- W3099830953 created "2020-11-23" @default.
- W3099830953 creator A5086582216 @default.
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- W3099830953 date "2020-11-16" @default.
- W3099830953 modified "2023-09-27" @default.
- W3099830953 title "On a conjecture for the fifth coefficients for the class ${mathcal U}(lambda)$" @default.
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