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For , , , , and , a new class  of analytic functions defined by means of the differential operator  is introduced. Our main object is to provide sharp upper bounds for Fekete-Szegö problem in . We also find sufficient conditions for a function to be in this class. Some interestingconsequences of our results are pointed out

Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator