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

Autor:	Pishtiwan Othman Sabir, Hari Mohan Srivastava, Waggas Galib Atshan, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Miguel Vivas-Cortez
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	holomorphic functions univalent functions m-fold symmetric bi-univalent functions bi-starlike functions bi-convex functions Ruscheweyh derivative operator Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 18, p 3970 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11183970
Popis:	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.
Databáze:	Directory of Open Access Journals
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