Applications of certain operators to the classes of analytic functions related with generalized conic domains

DOI10.1016/J.CAMWA.2011.10.003zbMath1236.30013OpenAlexW1995088218MaRDI QIDQ2429067

Khalida Inayat Noor, Muhammad Aslam Noor, Eisa A. Al-Said

Publication date: 22 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.003

zbMATH Keywords

convolutionsubordinateunivalent functionlinear operatoruniformly convex functionsconic domains

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Cites Work

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• On a generalization of uniformly convex and related functions
• On certain applications of the Hadamard product
• On bounded boundary and bounded radius rotations
• Some applications of the generalized Libera integral operator
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Conic regions and \(k\)-uniform convexity
• Techniques of the differential subordination for domains bounded by conic sections
• Differential subordination and Bazilevič functions
• Functions of bounded boundary rotation
• On the Coefficients of Meromorphic Schlicht Functions
• Subordination by Convex Functions
• Convex and Starlike Univalent Functions
• Differential inequalities and Carathéodory functions

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