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Authors: MOHAMED K. AOUF, ADELA O. MOUSTAFA, FAWZIAH Y. AL-QUHALI.
Received 07 June 2020; Accepted 06 August 2020. Published Online: 2024-03-20
Published Print: 2024-03-30
pp. 49-65
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In this paper, we obtain coefficient estimates, distortion theorems, radii of close-to-convexity, starlikeness and convexity for functions belonging to the class TBαq(α,β) of analytic starlike and convex functions defined by q-analogue of Ruscheweyh differential operator. Also we find closure theorems Nkqδ (e,g) neighborhood and partial sums for functions in this class.
Mathematics Subject Classification (2010): 30C45.
Keywords: n-Analytic functions, coefficient estimates, distortion, q-Ruscheweyh type differential operator, neighborhoods, partial sums.
