Coefficients bounds for a general subclasses of m-fold symmetric Bi-univalent functions

Abstract EN

In this paper, we introduce and investigate a new general subclasses R_(Σ_m ) (τ,λ,η;α) and R_(Σ_m ) (τ,λ,η;β) of Σ_m consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U.

We obtain estimates on the Taylor-Maclaurin coefficients |a_(m+1) | and |a_(2m+1) |.

Also, we obtain new special cases for our results.