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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 |
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[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 |
| _version_ | 1782402087300104192 |
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| author | Wolf, Gerhard |
| author_facet | Wolf, Gerhard |
| author_sort | Wolf, Gerhard |
| collection | PubMed |
| description | 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. |
| format | Online Article Text |
| id | pubmed-4654611 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2008 |
| publisher | [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-46546112016-04-19 On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions Wolf, Gerhard J Res Natl Inst Stand Technol Article 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. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2008 2008-02-01 /pmc/articles/PMC4654611/ /pubmed/27096109 http://dx.doi.org/10.6028/jres.113.003 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright. |
| spellingShingle | Article Wolf, Gerhard On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions |
| title | On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions |
| title_full | On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions |
| title_fullStr | On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions |
| title_full_unstemmed | On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions |
| title_short | On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions |
| title_sort | on the asymptotic behavior of the fourier coefficients of mathieu functions |
| topic | Article |
| url | 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 |
| work_keys_str_mv | AT wolfgerhard ontheasymptoticbehaviorofthefouriercoefficientsofmathieufunctions |