@article{Long2022, 
author = {Pinhong Long and Jinlin Liu and Murugusundaramoorthy Gangadharan and Wenshuai Wang},
title = {Certain subclass of analytic functions based on    q-derivative operator associated with the generalized Pascal snail and its applications},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {13423-13441},
keywords = {Fekete-Szegöinequality, symmetric Toeplitz determinant, analytic function, univalent function, q-derivative operator, Pascal snail, Bohr radius, neutrosophic Poisson distribution},
url = {https://www.sciopen.com/article/10.3934/math.2022742},
doi = {10.3934/math.2022742},
abstract = {By the principle of differential subordination and the    q-derivative operator, we introduce the    q-analog              S      P              s      n      a      i      l              q        (  λ  ;  α  ,  β  ,  γ  ) of certain class of analytic functions associated with the generalized Pascal snail. Firstly, we obtain the coefficient estimates and Fekete-Szegö functional inequalities for this class. Meanwhile, we also estimate the corresponding symmetric Toeplitz determinant. Secondly, for all the above results we provide the corresponding results for the reduced classes              S      P              s      n      a      i      l              q        (  α  ,  β  ,  γ  ) and              R      P              s      n      a      i      l              q        (  α  ,  β  ,  γ  ). Thirdly, we characterize the Bohr radius problems for the function class              S      P              s      n      a      i      l              q        (  α  ,  β  ,  γ  ). Lastly, we establish certain results for some new subclasses of functions defined by the neutrosophic Poisson distribution series.}
}