A gap condition for the zeroes of certain polynomials in Kaplan classes K(α, β)

DOI10.1112/S0025579300013279zbMath0625.30013OpenAlexW2044882341MaRDI QIDQ3027305

Massoud Jahangiri

Publication date: 1987

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300013279

zbMATH Keywords

convolutionstarlike functionsclose-to-convex polynomialsKaplan classes

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (6)

Zeros of complex polynomials and Kaplan classes ⋮ Generalized bounded boundary turning functions ⋮ Interspersion in Suffridge's polynomial theory ⋮ Kaplan classes of a certain family of functions ⋮ On the gap between two classes of analytic functions ⋮ Applications of subordination to functions with bounded boundary rotation

Cites Work

• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• Some remarks on Bazilevič functions
• Linear operators between classes of prestarlike functions
• The Hadamard product and linear transformations of classes of analytic functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Close-to-convex schlicht functions
• Coefficients and Integral Means of Some Classes of Analytic Functions
• Unnamed Item

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