@article{Madian2022, 
author = {S. M. Madian},
title = {Some properties for certain class of bi-univalent functions defined by    q-Cătaş operator with bounded boundary rotation},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {903-914},
keywords = {bi-univalent functions, q-analogue Cătaş operator, Bazilevič functions, bounded boundary rotation},
url = {https://www.sciopen.com/article/10.3934/math.2022053},
doi = {10.3934/math.2022053},
abstract = {Throughout the paper, we introduce a new subclass              H              α      ,      μ      ,      ρ      ,      m      ,      β              n      ,      q      ,      λ      ,      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.}
}