Mazi, Emeka; Altinkaya, Şahsene On a new subclass of m-fold symmetric biunivalent functions equipped with subordinate conditions. (English) Zbl 1412.30052 Khayyam J. Math. 4, No. 2, 187-197 (2018). Summary: In this paper, we introduce a new subclass of biunivalent function class \(\Sigma\) in which both \(f(z)\) and \(f^{-1}(z)\) are m-fold symmetric analytic functions. For functions of the subclass introduced in this paper, we obtain the coefficient bounds for \(|a_{m+1}|\) and \(|a_{2m+1}|\) and also study the Fekete-Szegö functional estimate for this class. Consequences of the results are also discussed. Cited in 2 Documents 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:biunivalent functions; coefficient bounds; pseudo-starlike functions; Fekete-Szegö functional estimates; Taylor-Maclaurin coefficients; subordination PDFBibTeX XMLCite \textit{E. Mazi} and \textit{Ş. Altinkaya}, Khayyam J. Math. 4, No. 2, 187--197 (2018; Zbl 1412.30052) Full Text: DOI