Wilson polynomials, denoted as \( W_n(x) \), are a class of orthogonal polynomials that arise in the context of probability theory and statistical mechanics. They are defined on the interval \( (0, 1) \) and are associated with the Beta distribution. Wilson polynomials can be expressed using the following formula: \[ W_n(x) = \frac{n!}{(n + 1)!
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