@article{Ali2024, 
author = {Ekram E. Ali and Rabha M. El-Ashwah and Abeer M. Albalahi and R. Sidaoui and Abdelkader Moumen},
title = {Inclusion properties for analytic functions of    q-analogue multiplier-Ruscheweyh operator},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {6772-6783},
keywords = {analytic function, q-difference operator, q-analogue Catas operator, q-analogue of Ruscheweyh operator},
url = {https://www.sciopen.com/article/10.3934/math.2024330},
doi = {10.3934/math.2024330},
abstract = {The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on        q  -calculus operators. We defined the        q  -analogue of multiplier- Ruscheweyh operator of a certain family of linear operators        I                  q            ,      μ              s        (  λ  ,  ℓ  )      f    (  ς  )    (  s  ∈            N              0        =      N    ∪  {  0  }  ,      N    =      {          1      ,      2      ,      3      ,      .      .        }    ;  ℓ  ,  λ  ,  μ  ≥  0  ,  0  &lt;      q    &lt;  1  ). Our major goal was to build some analytic function subclasses using        I                  q            ,      μ              s        (  λ  ,  ℓ  )      f    (  ς  ) and to look into various inclusion relationships that have integral preservation features.}
}