A Family of Holomorphic and m-Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems
Pishtiwan Othman Sabir, H. M. Srivastava, Waggas Galib Atshan, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Miguel José Vivas Cortez
Abstract
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 the open unit disk D associated with the Ruscheweyh derivative operator. For functions belonging to the family introduced here, we find estimates of the Taylor–Maclaurin coefficients am+1 and a2m+1, and the consequences of the results are discussed. The current findings both extend and enhance certain recent studies in this field, and in specific scenarios, they also establish several connections with known results.
Topics & Concepts
Holomorphic functionMathematicsPure mathematicsFold (higher-order function)Unit diskOperator (biology)Mathematical analysisComputer scienceProgramming languageGeneChemistryTranscription factorRepressorBiochemistryAnalytic and geometric function theoryHolomorphic and Operator Theory