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MR372382 (51 #8593f) 35A25 (33A75 81.22)
Kalnins, E. G.; Miller, W., Jr. Lie theory and separation of variables. V. The equations $iU\sb{t}-U\sb{xx}=0$ and $iU\sb{t}+U\sb{xx}-(c/x\sp{2})U=0$. J. Mathematical Phys. 15 (1974), 1728–1737.
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