Certain properties for spiral-like functions associated with Ruscheweyh-type q-difference operator

Abstract

In this paper, making use of the Ruscheweyh- type $q$-difference operator $\mathcal{D}_q(\mathcal{R}_q^\alpha f(z))$ we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szeg\"{o} problem for this generalized function class. Further, some known and new results which follow as special cases of our results are also mentioned.