Properties and characteristics of certain subclasses of starlike functions of order \(\beta \)

DOI10.1016/J.MCM.2006.09.026zbMath1145.30306OpenAlexW2009941794MaRDI QIDQ949551

Ming-Sheng Liu, Yu-Can Zhu, Hari M. Srivastava

Publication date: 21 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.09.026

zbMATH Keywords

distortion theoremsGauss hypergeometric functionanalytic functionsHadamard productsstarlike functionsinclusion relationscoefficient estimatescovering theoremsSrivastava-Saigo-Owa fractional integral operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (9)

Unnamed Item ⋮ Subordination properties of certain classes of multivalently analytic functions ⋮ Neighborhoods and partial sums of certain subclass of starlike functions ⋮ Applications of multivalent prestarlike functions ⋮ Classes of functions associated with bounded Mocanu variation ⋮ Some basic properties of certain new subclass of meromorphic functions ⋮ Editorial: Existence and asymptotic behaviour of solutions of differential and integral equations in some function spaces ⋮ Some basic properties of certain subclasses of meromorphically starlike functions ⋮ Unnamed Item

Cites Work

• Some functional inequalities and inclusion relationships associated with certain families of integral operators
• A note on certain classes of starlike functions
• A class of distortion theorems involving certain operators of fractional calculus
• On certain classes of strongly starlike functions
• Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation
• Close-to-convexity, starlikeness, and convexity of certain analytic functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Generating Functions for Some Classes of Univalent Functions
• Univalent Functions with Negative Coefficients
• Sufficient conditions for starlikeness
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