Some properties of two subclasses of \(k\)-fold symmetric functions associated with Srivastava-Attiya operator

DOI10.1016/j.amc.2011.03.080zbMath1225.30020OpenAlexW2045761448MaRDI QIDQ648292

Shao-Mou Yuan, Zai-Ming Liu

Publication date: 22 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.080

zbMATH Keywords

extreme pointsconvex functionsunivalent functionsstarlike functionsdifferential subordinationbest dominantSrivastava-Attiya operatorclose convex hulls

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (7)

Convolution properties of \(p\)-valent functions associated with a generalization of the Srivastava-Attiya operator ⋮ Differential subordination results for certain integrodifferential operator and its applications ⋮ Properties and characteristics of the Srivastava-Khairnar-More integral operator ⋮ Unnamed Item ⋮ Geometric properties for a family of holomorphic functions associated with Wanas operator defined on complex Hilbert space ⋮ Certain integral operator related to the Hurwitz-Lerch zeta function ⋮ A generalization of the Srivastava–Attiya transform and associated classes

Cites Work

• Closed convex hull of multivalent symmetric close-to-convex functions of order \(\beta \) with the Montel normalization
• Sandwich-type theorems for multivalent functions associated with the Srivastava-Attiya operator
• On some classes of first-order differential subordinations
• Convex hulls and extreme points of some classes of multivalent functions
• Univalent functions. Selected topics
• Subordination and extreme-point theory
• An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
• Certain subclasses of multivalent analytic functions involving the generalized Srivastava–Attiya operator
• Applications of Srivastava-Attiya operator to the classes of strongly starlike and strongly convex functions
• Support Points of Families of Analytic Functions Described by Subordination
• Convex Hulls and Extreme Points of Some Families of Univalent Functions
• Applications of Extreme Point Theory to Classes of Multivalent Functions
• Successive Coefficients of Univalent Functions
• Hull Subordination and Extremal Problems for Starlike and Spirallike Mappings
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function
• Convex Hulls of Some Classical Families of Univalent Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some properties of two subclasses of \(k\)-fold symmetric functions associated with Srivastava-Attiya operator