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Inclusion relationships between classes of functions defined by subordination

Jacek Dziok (2011)

Annales Polonici Mathematici

The purpose of the present paper is to investigate various inclusion relationships between several classes of analytic functions defined by subordination. Many interesting applications involving the well-known classes of functions defined by linear operators are also considered.

Initial Maclaurin coefficient estimates for λ -pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions

Abbas Kareem Wanas, Basem Aref Frasin (2022)

Mathematica Bohemica

We introduce and study two certain classes of holomorphic and bi-univalent functions associating λ -pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor–Maclaurin coefficients | a 2 | and | a 3 | for functions belonging to these classes. Further we point out certain special cases for our results.

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