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.
Mazi, E., & Altinkaya, Å. (2018). On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions. Khayyam Journal of Mathematics, 4(2), 187-197. doi: 10.22034/kjm.2018.63470
MLA
Emeka Mazi; Åžahsene Altinkaya. "On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions". Khayyam Journal of Mathematics, 4, 2, 2018, 187-197. doi: 10.22034/kjm.2018.63470
HARVARD
Mazi, E., Altinkaya, Å. (2018). 'On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions', Khayyam Journal of Mathematics, 4(2), pp. 187-197. doi: 10.22034/kjm.2018.63470
VANCOUVER
Mazi, E., Altinkaya, Å. On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions. Khayyam Journal of Mathematics, 2018; 4(2): 187-197. doi: 10.22034/kjm.2018.63470