Subordination results for classes of analytic functions related to conic domains defined by a fractional operator

DOI10.1016/j.jmaa.2008.10.025zbMath1165.30307OpenAlexW2007238042MaRDI QIDQ1018296

K. A. Al-Amoudi, Fatima M. Al-Oboudi

Publication date: 19 May 2009

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.2008.10.025

zbMATH Keywords

subordinationfractional derivativeuniformly convex functionKoebe domainconic domain

Mathematics Subject Classification ID

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

Related Items (8)

Unnamed Item ⋮ Applications of fractional \(q\)-calculus to certain subclass of analytic \(p\)-valent functions with negative coefficients ⋮ Dynamical aspects of initial/boundary value problems for ordinary differential equations 2014 ⋮ Advances on integrodifferential equations and transforms ⋮ Convolution operators in the geometric function theory ⋮ On certain subclasses of meromorphic univalent functions associated with a differential operator ⋮ Certain subclasses of multivalent meromorphic functions involving iterations of the Cho–Kwon–Srivastava transform and its combinations ⋮ Certain families of multivalent analytic functions associated with iterations of the Owa-Srivastava fractional differintegral operator

Cites Work

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