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On the Growth of Convergence Radii for the Eigenvalues of the Mathieu Equation
Author(s) -
Volkmer Hans
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981920114
Subject(s) - mathematics , mathieu function , eigenvalues and eigenvectors , mathematical analysis , convergence (economics) , pure mathematics , physics , quantum mechanics , economics , economic growth
It is proved that the convergence radii ρ n of the eigenvalues of the Mathieu equation satisfy lim inf ρ n / n 2 > kk′K 2 = 2.0418., where the modulus k of the complete elliptic integrals is determined by 2 E = K .
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