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On the Growth of Convergence Radii for the Eigenvalues of the Mathieu Equation |
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| Authors: | Hans Volkmer |
| Abstract: | It is proved that the convergence radii ρn of the eigenvalues of the Mathieu equation satisfy lim inf ρn/n2 > kk′K2 = 2.0418., where the modulus k of the complete elliptic integrals is determined by 2E = K. |
| Keywords: | Mathieu equation convergence radii elliptic integrals |