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Digital Library of Mathematical Functions

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28 Mathieu Functions and Hill’s Equation Mathieu Functions of Noninteger Order 28.13 Graphics 28.13 Graphics 28.14 Fourier Series

Figure 28.13.1 (See in context.)

See accompanying text

Figure 28.13.1: $\mathop{\lambda_{{\nu}}\/}\nolimits\!\left(q\right)$ as a function of

for $\nu=0.5(1)3.5$ and $\mathop{a_{{n}}\/}\nolimits\!\left(q\right),\mathop{b_{{n}}\/}\nolimits\!\left% (q\right)$ for

(

’s),

(

’s). (Compare Figure 28.2.1.)

Annotations:

Symbols:: $\mathop{a_{{n}}\/}\nolimits\!\left(q\right)$ : eigenvalues of Mathieu equation, $\mathop{b_{{n}}\/}\nolimits\!\left(q\right)$ : eigenvalues of Mathieu equation, $\mathop{\lambda_{{\nu+2n}}\/}\nolimits\!\left(q\right)$ : eigenvalues of Mathieu equation, $q=h^{2}$ : parameter, : integer, $\nu$ : complex parameter and : parameter
Permalink:: http://dlmf.nist.gov/28.13.F1.mag
Encodings:: Magnified png, 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. 28.13 Graphics 28.14 Fourier Series