Abstract
AbstractIn two previous papers it was shown that three pairs of asymptotic expansions exist for the solutions of the ellipsoidal wave equation: One pair in terms of Jacobian elliptic functions and two pairs in terms of Hermite functions. In the present investigation we show that the expansions can be joined in regions of common validity. We then identify these solutions with known functions, and finally derive asymptotic expansions for their normalization constants.
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