El-Deeb, Sheza M. On unified subclass of complex order connected with \(q\) confluent hypergeometric distribution. (English) Zbl 1486.30033 Surv. Math. Appl. 16, 327-337 (2021). Summary: In this paper, we apply the concept of \(q\)-confluent hypergeometric distribution to introduce and study a unified subclass of univalent functions of complex order \(B^{\lambda,q}_{\zeta,\gamma} (\Upsilon;b,c,m)\) consisting of all analytic functions, and some known consequences of the results are also derived for this class. MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 33C15 Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\) 11B65 Binomial coefficients; factorials; \(q\)-identities 47B38 Linear operators on function spaces (general) Keywords:\(q\)-calculus; confluent hypergeometric series; complex order; analytic function PDFBibTeX XMLCite \textit{S. M. El-Deeb}, Surv. Math. Appl. 16, 327--337 (2021; Zbl 1486.30033) Full Text: Link