A study of bi-convex classes in Leaf-like domains using quantum calculus through subordination
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Abstract
This research explores properties of a bi-convex class of functions that are associated with a leaf-shaped region by utilizes the subordination principle and $\mathrm{q}$-calculus. The study also analyzes limitations on coefficients, with a particular emphasis on \(|\varrho_{2}|\) and \(|\varrho_{3}|\). Furthermore, it evaluates Fekete Szeg\"{o} inequalities for functions within the bi-convex class. The findings are supported by figures, examples, and references to relevant studies.
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