Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator

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Mathematical Sciences and Applications E-Notes
Volume:11 Issue:3
Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transfo...

Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator

Authors : Tamer SEOUDY, Mohamed Kamal AOUF

Pages : 138-152

Doi:10.36753/mathenot.883641

View : 49 | Download : 53

Publication Date : 2023-09-02

Article Type : Research Paper

Abstract :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.
Keywords : Univalent function, convolution, q convex, q starlike, q analogue of multiplier transformation operator

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