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This research defines a new operator to explore analytic functions, indicating potential upper bounds of their coefficients.
We define a new general fractional q-differential operator, and by means of this operator, we introduce a new subclass of analytic functions that are the solutions of the non-homogeneous Cauchy–Euler fractional q-differential equations. Our aim is to determine upper bounds of Taylor–Maclaurin coefficients for functions belong to this class.
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Serap Bulut (2023) studied this question.
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