DLMF:

Digital Library of Mathematical Functions

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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 $\mathop{a_{{0}}\/}\nolimits\!\left(i\hat{q}\right)$ and $\mathop{a_{{2}}\/}\nolimits\!\left(i\hat{q}\right)$ : $0\leq\hat{q}\leq 2.5$ .

Annotations:

Symbols:: $\mathop{a_{{n}}\/}\nolimits\!\left(q\right)$ : eigenvalues of Mathieu equation and $q=h^{2}$ : parameter
Permalink:: http://dlmf.nist.gov/28.7.F1.mag
Encodings:: Magnified png, VRML, X3D, pdf

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 28.7 Analytic Continuation of Eigenvalues 28.8 Asymptotic Expansions for Large