Nonvanishing meromorphic univalent functions

Abu-Muhanna, Yusuf; Schober, Glenn

doi:10.1090/S0002-9939-1988-0962817-9

Nonvanishing meromorphic univalent functions
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by Yusuf Abu-Muhanna and Glenn Schober PDF

Proc. Amer. Math. Soc. 104 (1988), 487-492 Request permission

Abstract:

This note studies the best constants $s$ such that the function $k(z) = z + 2 + 1/z$ solves the linear coefficient problems $\max \operatorname {Re} \{ s{b_0} + {b_n}\}$ and $\max \operatorname {Re} \{ s{b_0} - {b_n}\}$ over nonvanishing functions in the class $\Sigma$.

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