On dual sets and neighborhood of new subclasses of analytic functions involving \(q\)-derivative

DOI10.1007/s40995-018-0525-9zbMath1397.30015OpenAlexW2790730906WikidataQ130194945 ScholiaQ130194945MaRDI QIDQ1787829

Khalida Inayat Noor, Humayoun Shahid

Publication date: 5 October 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-018-0525-9

zbMATH Keywords

convolutionanalytic functionsconvexunivalent functionsneighborhoodstarlikequantum calculusinclusion resultsdual sets

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Linear operators on function spaces (general) (47B38) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• Some approximation properties of \(q\)-Baskakov-Beta-Stancu type operators
• Conic regions and \(k\)-uniform convexity
• Techniques of the differential subordination for domains bounded by conic sections
• Rate of approximation by finite iterates of \(q\)-Durrmeyer operators
• On the \(q\)-derivatives of a certain linear positive operators
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Coefficient estimates of new classes of q-starlike and q-convex functions of complex order
• Geometric properties of basic hypergeometric functions
• On a generalization of close-to-convex functions
• A generalization of starlike functions
• Neighborhoods of Univalent Functions
• New Criteria for Univalent Functions
• Duality for Hadamard Products With Applications to Extremal Problems for Functions Regular in the Unit Disc

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