Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation

Autor: S. M. Madian
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 1, Pp 903-914 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022053?viewType=HTML
Popis: Throughout the paper, we introduce a new subclass $ \mathcal{H}_{\alpha, \mu, \rho, m, \beta }^{n, q, \lambda, l}\ f(z)$ by using the Bazilevič functions with the idea of bounded boundary rotation and $ q $-analogue Cătaş operator. Also we find the estimate of the coefficients for functions in this class. Finally, in the concluding section, we have chosen to reiterate the well-demonstrated fact that any attempt to produce the rather straightforward $ (p, q) $-variations of the results, which we have presented in this article, will be a rather trivial and inconsequential exercise, simply because the additional parameter $ p $ is obviously redundant.
Databáze: Directory of Open Access Journals