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Large-degree asymptotic expansions for the Jacobi and related functions

Nemes, Gergő
arXiv (All) · Papers
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classical-analysis-and-odes
Simple asymptotic expansions for the Jacobi functions $P_ν^{(α, β)}(z)$ and $Q_ν^{(α, β)}(z)$ for large degree $ν$, with fixed parameters $α$ and $β$, are surprisingly rare in the literature, with only a few special cases covered. This paper addresses this notable gap by deriving simple (inverse) fa
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