Harmonic subclass of univalent functions defined by modified \(q\)-difference operator

DOI10.1007/s13370-021-00901-wzbMath1488.30104OpenAlexW3162663354MaRDI QIDQ2665444

M. K. Aouf, Adela Osman Mostafa

Publication date: 19 November 2021

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

Full work available at URL: https://doi.org/10.1007/s13370-021-00901-w

zbMATH Keywords

extreme pointsharmonic functions\(q\)-difference operatorcoefficients estimate

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
• On a class of analytic functions related to conic domains involving {\(q\)}-calculus
• Differential subordinations associated with multiplier transformations
• Argument estimates of certain analytic functions defined by a class of multiplier transformations.
• Convolution properties for certain classes of analytic functions defined by \(q\)-derivative operator
• On univalent functions defined by a generalized Sălăgean operator
• Convolution properties for classes of bounded analytic functions with complex order defined by \(q-\)derivative operator
• Subordinations for certain multivalent analytic functions associated with the generalized Srivastava–Attiya operator
• MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
• Construction of a Certain Class of Harmonic Close-To-Convex Functions Associated with the Alexander Integral Transform
• Harmonic univalent functions
• Classes of harmonic starlike functions defined by Sălăgean-type $q$-differential operators
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