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Keywords:
holomorphic function; bi-univalent function; coefficient estimates; $\lambda $-pseudo-starlike function; Sakaguchi-type function
holomorphic function; bi-univalent function; coefficient estimates; $\lambda $-pseudo-starlike function; Sakaguchi-type function
Summary:
We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor--Maclaurin coefficients $\vert a_{2}\vert $ and $\vert a_{3}\vert $ for functions belonging to these classes. Further we point out certain special cases for our results.
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