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

Abstract

In this paper, making use of the q-analogue of Carlson-Shaffer operator Lq(a,c) 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.

Keywords

• convex functions
• fekete-szego problem
• hadamard product
• q-analogue of carlson-shaffer operator
• spiral-like functions
• starlike functions
• subordinating factor sequence
• univalent functions