Inclusion relations and convolution properties of a certain class of analytic functions associated with the Ruscheweyh derivatives

DOI10.1016/j.jmaa.2006.09.019zbMath1111.30011OpenAlexW1971171969MaRDI QIDQ879149

Ding-Gong Yang, N.-Eng Xu, Hari M. Srivastava

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.019

zbMATH Keywords

convex functionsanalytic functionsunivalent functionsclose-to-convex functionsHadamard product (or convolution)Ruscheweyh derivativessubordination between analytic functions

Mathematics Subject Classification ID

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

Related Items (11)

Geometric properties of a certain class of multivalent analytic functions associated with the second-order differential subordination ⋮ On a class of analytic functions with missing coefficients ⋮ Some applications of differential subordination and the Dziok-Srivastava convolution operator ⋮ Unnamed Item ⋮ On the starlikeness of certain class of multivalent analytic functions ⋮ On certain applications of the Hadamard product ⋮ Radius problem for the class of analytic functions based on Ruscheweyh derivative ⋮ A class of analytic functions with missing coefficients ⋮ Applications of convolution properties ⋮ Classes of analytic functions with fractional powers defined by means of a certain linear operator ⋮ Subordinations for multivalent analytic functions associated with the Dziok–Srivastava operator

Cites Work

• Unnamed Item
• Unnamed Item
• Differential subordinations and univalent functions
• A class of bounded starlike functions
• Functions Whose Derivative has a Positive Real Part
• Convolution Properties of a Class of Starlike Functions
• Convolution properties of a class of bounded analytic functions
• Subordination by Convex Functions
• New Subclasses of the Class of Close-to-Convex Functions

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