Coefficients and Integral Means of Some Classes of Analytic Functions

DOI10.2307/2044716zbMath0534.30018OpenAlexW4256219224MaRDI QIDQ3317327

T. Sheil-Small

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2044716

zbMATH Keywords

starlike functionsclose-to- convex functionsfunctions of bounded boundary rotationKaplan classstarlike of order \(\alpha\)

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (10)

On the Fourier series of a finitely described convex curve and a conjecture of H. S. Shapiro ⋮ Zeros of complex polynomials and Kaplan classes ⋮ Generalized bounded boundary turning functions ⋮ On a subclass of Bazilevic functions ⋮ A gap condition for the zeroes of certain polynomials in Kaplan classes K(α, β) ⋮ Characterization and the pre-Schwarzian norm estimate for concave univalent functions ⋮ On the gap between two classes of analytic functions ⋮ Applications of subordination to functions with bounded boundary rotation ⋮ Weighted convolutions of certain polynomials ⋮ Some remarks on Bazilevič functions

Cites Work

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• Some convexity and convolution theorems for analytic functions
• Integral means, univalent functions and circular symmetrization
• The Hadamard product and linear transformations of classes of analytic functions
• On meromorphic starlike functions
• On Meromorphic Schlicht Functions
• Integral means of the Derivatives of some Univalent Functions

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