Murugusundaramoorthy, G.; Janani, T.; Purohit, Sunil Dutt Coefficient estimate of bi-Bazilevič functions associated with fractional \(q\)-calculus operators. (English) Zbl 1376.30010 Fundam. Inform. 151, No. 1-4, 49-62 (2017). Summary: In this paper, we introduce and investigate two new subclasses of the function class \(\Sigma\) of bi-univalent functions defined in the open unit disk, which are associated with fractional \(q\)-calculus operators, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients \(|a_2|\) and \(|a_3|\) for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out. Cited in 1 Document 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 Keywords:bi-univalent; bi-star-like and biconvex functions; bi-Bazilevič functions; fractional \(q\)-calculus operators PDFBibTeX XMLCite \textit{G. Murugusundaramoorthy} et al., Fundam. Inform. 151, No. 1--4, 49--62 (2017; Zbl 1376.30010) Full Text: DOI