%0 Journal Article
%T On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions
%J Khayyam Journal of Mathematics
%I 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)
%Z 2423-4788
%A Mazi, Emeka
%A Altinkaya, Şahsene
%D 2018
%\ 07/01/2018
%V 4
%N 2
%P 187-197
%! On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions
%K Biunivalent functions
%K coefficient bounds
%K pseudo-starlike functions
%K Fekete-Szegö functional estimates
%K Taylor-Maclaurin coefficients
%K subordination
%R 10.22034/kjm.2018.63470
%X 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.
%U http://www.kjm-math.org/article_63470_def95421626bd10dbaaaf7b380ff11dd.pdf