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Results tagged with legendre-polynomials
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Formula of Laplace for the asymptotic expansion of Legendre polynomials
According to the so-called formula of Laplace (see, e.g., [1, Theorem 8.21.2]), Legendre polynomials admit the following asymptotic expansion:
$$
P_n(\cos\theta) = \sqrt{2} (\pi n\sin\theta)^{-\frac12 …
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