scientific article; zbMATH DE number 3606750

DOI10.1512/IUMJ.1978.27.27044zbMath0391.30013OpenAlexW4249149456MaRDI QIDQ4172273

John L. Lewis

Publication date: 1978

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1978.27.27044

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zbMATH Keywords

ConvolutionsStarlike FunctionsClose-To-ConvexTheorem of Polya and Schoenberg

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Power series (including lacunary series) in one complex variable (30B10)

Related Items (9)

Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\) ⋮ Convolution multipliers and starlike functions ⋮ Interspersion in Suffridge's polynomial theory ⋮ A gap condition for the zeroes of certain polynomials in Kaplan classes K(α, β) ⋮ On the order of starlikeness of the shifted Gauss hypergeometric function ⋮ The Hadamard product and linear transformations of classes of analytic functions ⋮ Weighted convolutions of certain polynomials ⋮ New Pólya-Schoenberg type theorems ⋮ Some remarks on Bazilevič functions

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