Faber Polynomial Coefficient Estimates for Bi-Close-to-Convex Functions Defined by the q-Fractional Derivative

Autor:	Hari Mohan Srivastava, Isra Al-Shbeil, Qin Xin, Fairouz Tchier, Shahid Khan, Sarfraz Nawaz Malik
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	quantum (or q-) calculus analytic functions q-derivative operator bi-univalent functions Faber polynomial expansions Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 6, p 585 (2023)
Druh dokumentu:	article
ISSN:	12060585 2075-1680
DOI:	10.3390/axioms12060585
Popis:	By utilizing the concept of the q-fractional derivative operator and bi-close-to-convex functions, we define a new subclass of A, where the class A contains normalized analytic functions in the open unit disk E and is invariant or symmetric under rotation. First, using the Faber polynomial expansion (FPE) technique, we determine the lth coefficient bound for the functions contained within this class. We provide a further explanation for the first few coefficients of bi-close-to-convex functions defined by the q-fractional derivative. We also emphasize upon a few well-known outcomes of the major findings in this article.
Databáze:	Directory of Open Access Journals
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