Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator
Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator
We introduce a new class of analytic functions with negative coefficients by using the $q-$analogue of multiplier transformation operator. Coefficient inequalities, distortion theorems, closure theorems, and some properties involving the modified Hadamard products, radii of close-to-convexity, starlikeness, and convexity, and integral operators associated with functions belonging to this class are obtained.
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