Convolution properties of some classes of analytic functions

DOI10.1007/BF02358538zbMath0898.30019MaRDI QIDQ1376893

Vikramaditya Singh, Saminathan Ponnusamy

Publication date: 6 May 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68637

zbMATH Keywords

subordinationconvolution

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) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (8)

Linear functionals and the duality principle for harmonic functions ⋮ A certain \(q\)-Ruscheweyh type derivative operator and its applications involving multivalent functions ⋮ On some analytic functions defined by a multiplier transformation ⋮ Coefficient inequalities for univalent starlike functions ⋮ Convolutions of harmonic mappings convex in one direction ⋮ Further results for two certain subclasses of close-to-convex functions ⋮ Some convolution properties of multivalent analytic functions ⋮ A class of locally univalent functions defined by a differential inequality§

Cites Work

• Univalent functions with bounded derivative in the unit disc
• Differential subordinations concerning starlike functions
• On two extremal problems related to univalent functions
• Differential subordination and Bazilevič functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• The range of a continuous linear functional over a class of functions defined by subordination
• On integrals of bounded analytic functions in the closed unit disc
• Convolution Properties of a Class of Starlike Functions
• New Subclasses of the Class of Close-to-Convex Functions
• Pólya-Schoenberg Conjecture for Carathéodory Functions
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