A certain class of starlike functions

DOI10.1016/j.camwa.2011.05.041zbMath1228.30007OpenAlexW2087196932MaRDI QIDQ651534

Janusz Sokół

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.05.041

zbMATH Keywords

subordinationconvex functionsunivalent functionsstarlike functionsorder of starlikeness

Mathematics Subject Classification ID

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

Related Items (18)

Some applications of differential subordination for certain starlike functions ⋮ Unnamed Item ⋮ Solution of logarithmic coefficients conjectures for some classes of convex functions ⋮ CONVOLUTION PROPERTIES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ⋮ Unnamed Item ⋮ Two new subclasses of \(p\)-valent starlike functions ⋮ Starlike functions associated with the generalized Koebe function ⋮ Successive coefficients of functions in classes defined by subordination ⋮ On starlike functions connected with \(k\)-Fibonacci numbers ⋮ Logarithmic coefficients for classes related to convex functions ⋮ Logarithmic coefficient bounds and coefficient conjectures for classes associated with convex functions ⋮ Integral transforms and partial sums of certain meromorphically p-valent starlike functions ⋮ Integral transforms and partial sums of certain \(p\)-valent starlike functions ⋮ Hadamard products of certain classes of \(p\)-valent starlike functions ⋮ Inclusion and distortion properties for certain meromorphically multivalent functions ⋮ Unnamed Item ⋮ Convolution properties for certain meromorphically multivalent functions ⋮ Majorization problems for a class of analytic functions defined by subordination

Cites Work

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• Conic regions and \(k\)-uniform convexity
• Uniformly convex functions
• A Subordination for Convex Functions of Order α
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Coefficients in some classes defined by subordination to multivalent majorants
• Some extremal problems for certain families of analytic functions I
• On Some Classes of Bounded Univalent Functions
• Extremal problems for a family of functions with positive real part and for some related families
• On uniformly convex functions

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