Certain subclasses of spiral-like functions associated with $ q $-analogue of Carlson-Shaffer operator

In this paper, making use of the $ q $-analogue of Carlson-Shaffer operator $ L_{q}\left(a, c\right) $ we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szego problem for this generalized function class. Further, some known and new results which follow as special cases of our results are also mentioned.