On a certain subclass of analytic functions defined by $q$-Sălăgean operator associated
with operator on Hilbert space
Serap Bulut
Received January 12, 2024. Published online December 4, 2024.
Abstract: Using a Hilbert space operator, we define a new subclass of analytic functions defined by $p$-valent $q$-Sălăgean operator and determine coefficient estimates, distortion bounds, radii of close-to-convexity, starlikeness, and convexity for the functions in this class. We also investigate extreme points and the modified Hadamard product.
Keywords: analytic function; coefficient estimates; Hadamard product; Hilbert space operator
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Affiliations: Serap Bulut, Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus - 41285 Kartepe-Kocaeli, Turkey, e-mail: serap.bulut@kocaeli.edu.tr
