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A Simple Proof of Livingston's Inequality for Caratheodory Functions

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Publication:3834290
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DOI10.2307/2047661zbMath0678.30023OpenAlexW4253483567MaRDI QIDQ3834290

Yves V. Genin, Philippe Delsarte

Publication date: 1989

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047661


zbMATH Keywords

Carathéodory functionRiesz-Herglotz representation


Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05)


Related Items (4)

Carathéodory properties of Gaussian hypergeometric function associated with differential inequalities in the complex plane ⋮ Unnamed Item ⋮ A generalization of Livingston's coefficient inequalities for functions with positive real part ⋮ Sufficient conditions for Carathéodory functions







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