Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function

International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3547 2020 2020 Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function College of Applied and Health Sciences, A'Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman Jamal Jamal This study, aims to consider the coefficients of the reciprocal Gamma function in order introduce a linear operator by the means of Hadamard product. Thus, we define a new subclass of uniformly starlike functions of order 𝛼, Γ−1(𝛼). Further, we obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to-convexity, starlikeness and convexity for functions 𝑓∈Γ−1(𝛼). In addition, we investigate the inclusion conditions for the Hadamard product and the Integral transform. 2025 2025 346 356 10.54216/IJNS.250429 https://www.americaspg.com/articleinfo/21/show/3547