Certain class of analytic functions dened by \(q\)-analogue of Ruscheweyh dierential operator

Mohamad K. Aouf; Adela O. Mostafa; Fawziah Y. Alquhali

doi:10.24193/subbmath.2024.1.03

Authors

Mohamad K. Aouf Mansoura University
Adela O. Mostafa Mansoura University
Fawziah Y. Alquhali Amran University

DOI:

https://doi.org/10.24193/subbmath.2024.1.03

Keywords:

Analytic functions, Coefficient estimates, Distortion, q-Ruscheweyh type defferential operator, Neighbourhoods, Partial sums.

Abstract

In this paper, we obtain coefficient estimates, distortion theorems, radii of close-to-convexity, starlikeness and convexity for functions belonging to the class \(TB_{q}^{λ}(α,β)\) of analytic starlike and convex functions defined by q-analogue of Ruscheweyh differential operator. Also we find closure theorems, \(N_{k,q,δ}(e,g)\) neighbourhood and partial sums for functions in this class.

Author Biographies

Mohamad K. Aouf, Mansoura University

Department of Mathematics
Adela O. Mostafa, Mansoura University

Department of Mathematics
Fawziah Y. Alquhali, Amran University

Department of Mathematics

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