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

Year 2018, Volume: 6 Issue: 2, 218 - 225, 15.10.2018

Raducanu Dorina Murugusundaramoorthy Gangadharan

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.

Keywords

Univalent functions, starlike functions, convex functions, spirallike functions, subordinating factor sequence, Fekete-Szeg\"{o} problem

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