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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.
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
[Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology
2008
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4654611/ https://www.ncbi.nlm.nih.gov/pubmed/27096109 http://dx.doi.org/10.6028/jres.113.003 |
| Sumario: | 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. |
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