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

Year 2023, Volume: 11 Issue: 3, 138 - 152, 02.09.2023

Tamer Seoudy Mohamed Kamal Aouf

https://doi.org/10.36753/mathenot.883641

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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