Unified solution of initial coefficients and Fekete–Szegö problem for subclasses of analytic functions related to a conic region

We define R c b ( t ; ψ ) a subclass of analytic functions using a differential characterization (related to a class of starlike functions) subordinate to ψ ( z ) , where ψ maps unit disc U onto a convex domain and ψ ( U ) is symmetric with respect to the real axis. We obtain the inequalities for th...

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Bibliographic Details
Published in:Afrika mathematica 2022-06, Vol.33 (2), Article 44
Main Authors: Karthikeyan, K. R., Murugusundaramoorthy, G.
Format: Article
Language:English
Subjects:
Analytic functions
Applications of Mathematics
History of Mathematical Sciences
Mathematical analysis
Mathematics
Mathematics and Statistics
Mathematics Education
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Summary:We define R c b ( t ; ψ ) a subclass of analytic functions using a differential characterization (related to a class of starlike functions) subordinate to ψ ( z ) , where ψ maps unit disc U onto a convex domain and ψ ( U ) is symmetric with respect to the real axis. We obtain the inequalities for the initial Taylor–Maclaurin coefficients for the functions belonging to the class and unified solution of Fekete–Szegö problem for subclasses of analytic functions related to various conic regions. Our main results have many applications which are presented in the form of corollaries.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-022-00981-2