The Hadamard product and linear transformations of classes of analytic functions

DOI10.1007/BF02790013zbMath0405.30005OpenAlexW2048044457MaRDI QIDQ1257118

T. Sheil-Small

Publication date: 1978

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790013

zbMATH Keywords

Hadamard productextreme pointslinear operatorconvolutionsstarlike functionsbounded boundary rotation

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items

Continuous affine functionals on convex families of analytic functions ⋮ Coefficients and Integral Means of Some Classes of Analytic Functions ⋮ Completely monotone sequences and universally prestarlike functions ⋮ Metrical and topological properties of a generalized Libera transform ⋮ Suffridge's convolution theorem for polynomials with zeros in the unit disk ⋮ On the koebe quarter theorem for certain polynomials of odd degree ⋮ Neighborhoods of analytic functions ⋮ Convolution multipliers and starlike functions ⋮ Zeros of complex polynomials and Kaplan classes ⋮ On the Koebe Quarter Theorem for certain polynomials ⋮ Generalized bounded boundary turning functions ⋮ Complete membership to Kaplan classes of a certain class of functions ⋮ Suffridge's convolution theorem for polynomials and entire functions having only real zeros ⋮ \(n\)-Bazilevic functions ⋮ A gap condition for the zeroes of certain polynomials in Kaplan classes K(α, β) ⋮ On Cesàro means, Kaplan classes and a conjecture of S.P. Robinson ⋮ On the gap between two classes of analytic functions ⋮ Universally prestarlike functions as convolution multipliers ⋮ Applications of subordination to functions with bounded boundary rotation ⋮ Weighted convolutions of certain polynomials ⋮ New Pólya-Schoenberg type theorems ⋮ Some remarks on Bazilevič functions

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