On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions.
The asymptotic behavior of the Fourier coefficients [Formula: see text] and [Formula: see text] of the periodic Mathieu functions ce n (z, q) and se n (z, q) is derived for fixed n and q (≠0), as m → ∞. Error bounds can be constructed for all approximations.
Universität Duisburg-Essen Campus Essen, Fachbereich Mathematik D 45110 Essen, Germany.
Gerhard
G
Wolf
Fourier coefficients; Mathieu functions; asymptotic behavior