Fekete Szegö properties for a class of univalent functions of complex order associated with \(q\)-difference operator

DOI10.1007/S13370-020-00807-ZzbMath1474.30050OpenAlexW3037948980MaRDI QIDQ2035871

M. K. Aouf, R. E. Elmorsy, Adela Osman Mostafa

Publication date: 25 June 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-020-00807-z

zbMATH Keywords

Fekete-Szegö problemsubordinationanalytic and univalent functions\(q\)-derivative operator\(q\)-convex functions\(q\)-starlike functions

Mathematics Subject Classification ID

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

Cites Work

• \(q\)-fractional calculus and equations
• Convolution properties for certain classes of analytic functions defined by \(q\)-derivative operator
• Convolution properties for classes of bounded analytic functions with complex order defined by \(q-\)derivative operator
• Coefficient estimates of new classes of q-starlike and q-convex functions of complex order
• Certain subclasses of bi-univalent functions satisfying subordinate conditions
• Applications of q-Calculus in Operator Theory
• SUBCLASSES OF ANALYTIC FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH q􀀀MITTAG LEFFLER FUNCTION
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