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

Authors : Raducanu DORİNA, Murugusundaramoorthy GANGADHARAN

Pages : 218-225

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Publication Date : 2018-10-15

Article Type : Research Paper

Abstract :In this paper, making use of the Ruscheweyh- type $q$-difference operator $\mathcal{D}_qinsert ignore into journalissuearticles values(\mathcal{R}_q^\alpha finsert ignore into journalissuearticles values(z););$ 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