DLMF:

Digital Library of Mathematical Functions

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29 Lamé Functions Lamé Functions 29.4 Graphics 29.4 Graphics 29.5 Special Cases and Limiting Forms

Figure 29.4.1 (See in context.)

See accompanying text

Figure 29.4.1: $\mathop{a^{{m}}_{{\nu}}\/}\nolimits\!\left(0.5\right)$ , $\mathop{b^{{m+1}}_{{\nu}}\/}\nolimits\!\left(0.5\right)$ as functions of $\nu$ for

.

Annotations:

Symbols:: $\mathop{a^{{n}}_{{\nu}}\/}\nolimits\!\left(k^{2}\right)$ : eigenvalues of Lamé’s equation, $\mathop{b^{{n}}_{{\nu}}\/}\nolimits\!\left(k^{2}\right)$ : eigenvalues of Lamé’s equation, : nonnegative integer and $\nu$ : real parameter
Permalink:: http://dlmf.nist.gov/29.4.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. 29.4 Graphics 29.5 Special Cases and Limiting Forms