Geometric properties of subclasses of starlike functions

DOI10.1016/S0377-0427(02)00875-0zbMath1022.30013WikidataQ59108624 ScholiaQ59108624MaRDI QIDQ1811597

Adam Lecko, Agnieszka Wisniowska-Wajnryb

Publication date: 17 June 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convex functionsstarlike functions\(k\)-uniformly convex functions\(k\)-starlike functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (12)

An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions ⋮ A class of analytic functions related to convexity and functions with bounded turning ⋮ Hankel determinant for a class of analytic functions involving conical domains defined by subordination ⋮ On certain problem in the class of \(k\)-starlike functions ⋮ On a subclass of starlike functions ⋮ Averaging operators and the classes of starlike functions related to parabola ⋮ Inclusion relations and radius problems for a subclass of starlike functions ⋮ Some extremal bounds for subclasses of univalent functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Application of Chebyshev polynomials to classes of analytic functions ⋮ On order of strongly starlikeness in the class of uniformly convex functions

Cites Work

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• Conic regions and \(k\)-uniform convexity
• Uniformly convex functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• On uniformly convex functions

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