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Asymptotic Behaviour for Wall Polynomials and the Addition Formula for Little <i>q</i>-Legendre Polynomials
Wall polynomials $W_n (x;b,q)$ are considered and their asymptotic behaviour is described when $q = c^{{1 / n}} $ and n tends to infinity. The results are then used to derive the addition and product formulas for the Legendre polynomials from the recently obtained addition and product formulas for little …