- Turkish Journal of Mathematics
- Vol: 40 Issue: 6
- Coefficient estimates for general subclasses of $m$-fold symmetric analytic bi-univalent functions
Coefficient estimates for general subclasses of $m$-fold symmetric analytic bi-univalent functions
Authors : Serap Bulut
Pages : 1386-1397
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this work, we introduce and investigate two new subclasses of the bi-univalent functions in which both $f$ and $f^{-1}$ are $ m$-fold symmetric analytic functions. For functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for $ \left\vert a_{m+1}\right\vert $ and $\left\vert a_{2m+1}\right\vert .$Keywords : Analytic functions, univalent functions, bi-univalent functions, $m$-fold symmetric bi-univalent functions