×

Initial Maclaurin coefficient estimates for \(\lambda\)-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions. (English) Zbl 1513.30102

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.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable
PDFBibTeX XMLCite
Full Text: DOI