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.
Citation: Tamer M. Seoudy, Amnah E. Shammaky. Certain subclasses of spiral-like functions associated with $ q $-analogue of Carlson-Shaffer operator[J]. AIMS Mathematics, 2021, 6(3): 2525-2538. doi: 10.3934/math.2021153
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.
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Tamer M. Seoudy, Amnah E. Shammaky. Certain subclasses of spiral-like functions associated with $ q $-analogue of Carlson-Shaffer operator[J]. AIMS Mathematics, 2021, 6(3): 2525-2538. doi: 10.3934/math.2021153
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