High order coefficient estimates in the class Σ

Leung, Y. J.; Schober, G.

doi:10.1090/S0002-9939-1985-0792279-3

High order coefficient estimates in the class $\Sigma$
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by Y. J. Leung and G. Schober

Proc. Amer. Math. Soc. 94 (1985), 659-664

DOI: https://doi.org/10.1090/S0002-9939-1985-0792279-3

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Abstract:

Estimates are given for the coefficients ${b_n}$ of functions in the class $\sum$ in terms of $\operatorname {Re} \{ 1 - {b_1}\}$. As a consequence, there is an explicit finite number $\lambda$ such that $\operatorname {Re} \{ \lambda {b_1} - {b_n}\} \leqslant \lambda$.

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