On some applications of the Briot--Bouquet differential subordination

DOI10.1016/J.JMAA.2006.05.066zbMath1158.30304OpenAlexW1965344847MaRDI QIDQ864691

Jacek Dziok

Publication date: 12 February 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.2006.05.066

zbMATH Keywords

analytic functionsthe Briot--Bouquet differential subordinationthe Carlson--Shaffer operatorthe generalized hypergeometric function

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)

Related Items (12)

On the convex combination of the Dziok-Srivastava operator ⋮ Some applications of differential subordination and the Dziok-Srivastava convolution operator ⋮ On a generalized Briot-Bouquet type differential subordination ⋮ Applications of multivalent prestarlike functions ⋮ On holomorphic solutions for nonlinear singular fractional differential equations ⋮ On certain applications of the Hadamard product ⋮ On some applications of the Dziok-Srivastava operator ⋮ Strong differential subordination and superordination for multivalently meromorphic functions involving the Liu–Srivastava operator ⋮ Applications of convolution properties ⋮ Certain subclasses of \(p\)-valently analytic functions involving a generalized fractional differintegral operator ⋮ Some subclasses of multivalent analytic functions involving the Dziok–Srivastava operator ⋮ On a class of analytic multivalent functions

Cites Work

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• Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions
• Fractional integral and other linear operators associated with the gaussian hypergeometric function
• Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function

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