Analytic continuation of eigenvalues of the Lamé operator |
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| Authors: | Kouichi Takemura |
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| Institution: | Department of Mathematical Sciences, Yokohama City University, 22-2 Seto, Kanazawa-ku, Yokohama 236-0027, Japan |
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| Abstract: | Eigenvalues of the Lamé operator are studied as complex-analytic functions in period τ of an elliptic function. We investigate the branching of eigenvalues numerically and clarify the relationship between the branching of eigenvalues and the convergent radius of a perturbation series. |
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| Keywords: | 33E10 34M35 34L16 |
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