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Some properties for certain class of bi-univalent functions defined by $ q $-Cătaş operator with bounded boundary rotation
Author(s) -
S. M. Madian
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022053
Subject(s) - bounded function , operator (biology) , boundary (topology) , mathematics , rotation (mathematics) , class (philosophy) , lambda , combinatorics , pure mathematics , mathematical analysis , physics , geometry , quantum mechanics , computer science , chemistry , biochemistry , repressor , artificial intelligence , transcription factor , gene
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.

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