Faber Polynomial Coefficient Estimates for Bi-univalent Functions Defined by the Tremblay Fractional Derivative Operator

Srivastava, H. M.Sumer Eker, SevtapHamidi, S. G.Jahangiri, J. M.2024-04-242024-04-2420181017-060X1735-8515https://doi.org/10.1007/s41980-018-0011-3https://hdl.handle.net/11468/15013Using the Tremblay fractional derivative operator in the complex domain, we introduce and investigate a new class of analytic and bi-univalent functions in the open unit disk. We use the Faber polynomial expansions to obtain upper bounds for the general coefficients of such functions subject to a gap series condition as well as obtaining bounds for their first two coefficients.eninfo:eu-repo/semantics/closedAccessTremblay Fractional Derivative OperatorFaber PolynomialsAnalyticUnivalentBi-Univalent FunctionsFaber Polynomial Coefficient Estimates for Bi-univalent Functions Defined by the Tremblay Fractional Derivative OperatorFaber Polynomial Coefficient Estimates for Bi-univalent Functions Defined by the Tremblay Fractional Derivative OperatorArticle441149157WOS:0004313436000102-s2.0-8504648618610.1007/s41980-018-0011-3Q2Q4