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On the Growth of Convergence Radii for the Eigenvalues of the Mathieu Equation

✍ Scribed by Hans Volkmer

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 543 KB
Volume: 192
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19981920114

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✦ Synopsis

It is proved that the convergence radii pn of the eigenvalues of the Mathieu equation satisfy lim inf pn/n2 2 kk'K2 = 2.0418.. . where the modulus k of the complete elliptic integrals is determined by 2 E = K.

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