Aquileo | DLMF: Figure 28.7.1 ‣ §28.7 Analytic Continuation of Eigenvalues ‣ Mathieu Functions of Integer Order ‣ Chapter 28 Mathieu Functions and Hill’s Equation

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28 Mathieu Functions and Hill’s Equation Mathieu Functions of Integer Order 28.7 Analytic Continuation of Eigenvalues 28.7 Analytic Continuation of Eigenvalues 28.8 Asymptotic Expansions for Large

Figure 28.7.1 (See in context.)

See accompanying text

Figure 28.7.1: Branch point of the eigenvalues $a_{0}\left(\mathrm{i}\hat{q}\right)$ and $a_{2}\left(\mathrm{i}\hat{q}\right)$ : $0\leq\hat{q}\leq 2.5$ .

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Annotations:

Symbols:: $a_{\NVar{n}}\left(\NVar{q}\right)$ : eigenvalues of Mathieu equation, $\mathrm{i}$ : imaginary unit and $q=h^{2}$ : parameter
Permalink:: http://dlmf.nist.gov/28.7.F1.mag
Encodings:: Magnified png, pdf
See also:: Annotations for §28.7 and Ch.28

28.7 Analytic Continuation of Eigenvalues 28.8 Asymptotic Expansions for Large

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