Coefficients of nonvanishing functions in H∞

Charles Horowitz

doi:10.1007/BF02761076

Coefficients of nonvanishing functions in H^∞

Charles Horowitz

Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Les B denote the class of functions analytic in the unit disc of C which satisfy 0<| f(z)|<1. It is proved that there exists a number c<1 such that if f∈B and if f(z)=Σ(Formula presented.)a_nzⁿ, then | a_n|< c for n>=1.

Original language	English
Pages (from-to)	285-291
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	30
Issue number	3
DOIs	https://doi.org/10.1007/BF02761076
State	Published - Sep 1978
Externally published	Yes

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abstract = "Les B denote the class of functions analytic in the unit disc of C which satisfy 0<| f(z)|<1. It is proved that there exists a number c<1 such that if f∈B and if f(z)=Σ(Formula presented.)anzn, then | an|< c for n>=1.",

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Coefficients of nonvanishing functions in H^∞

Abstract

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