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Twin convergence regions for continued fractions

1944
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Bulletin of the American Mathematical Society
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1. In the theory of hydrodynamic stability, eigenvalue problems of the form 1 (1.1) Lu -\-Mu = \u X arise [l, p. 430 ]. Here, L and M denote ordinary differential operators, the order of L exceeds that of M, and the boundary conditions are such that L is self-adjoint. One of the questions of interest is whether there exist eigenvalues of this problem and, if so, whether the corresponding eigenfunctions are complete. Replacing X by 1/X, it is easy to see that if L~l exists, (1.1) is equivalent

doi:10.1090/s0002-9904-1944-08142-1
fatcat:i6d5wxr7sbdwdlhcavjssi45je