A comprehensive subclass of bi-univalent functions defined by a linear combination and satisfying subordination conditions

Autor: Hari Mohan Srivastava, Pishtiwan Othman Sabir, Khalid Ibrahim Abdullah, Nafya Hameed Mohammed, Nejmeddine Chorfi, Pshtiwan Othman Mohammed
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 12, Pp 29975-29994 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231533?viewType=HTML
Popis: In this article, we derive some estimates for the Taylor-Maclaurin coefficients of functions that belong to a new general subclass $ \Upsilon_\Sigma(\delta, \rho, \tau, n;\varphi) $ of bi-univalent functions in an open unit disk, which is defined by using the Ruscheweyh derivative operator and the principle of differential subordination between holomorphic functions. Our results are more accurate than the previous works and they generalize and improve some outcomes that have been obtained by other researchers. Under certain conditions, the derived bounds are smaller than those in the previous findings. Furthermore, if we specialize the parameters, several repercussions of this generic subclass will be properly obtained.
Databáze: Directory of Open Access Journals