Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions1871976347010.22034/kjm.2018.63470ENEmekaMaziDepartment of Mathematics, Faculty of Science, University of Ilorin, NigeriaŞahseneAltinkayaDepartment of Mathematics, Faculty of Science, Uludag University, 16059,
Bursa, Turkey.Journal Article20180118In 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.http://www.kjm-math.org/article_63470_def95421626bd10dbaaaf7b380ff11dd.pdf