A Family of Holomorphic and m-Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems

This paper presents a new general subfamily NΣmu,v(η,μ,γ,ℓ) of the family Σm that contains holomorphic normalized m-fold symmetric bi-univalent functions in open unit disk D associated with Ruscheweyh derivative operator. For belonging to introduced here, we find estimates Taylor–Maclaurin coefficients am+1 and a2m+1, consequences results are discussed. The current findings both extend enhance certain recent studies this field, specific scenarios, they also establish several connections known results.