𝔖 Bobbio Scriptorium
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Asymptotic behavior of the coefficients of functions of power series and fourier series

✍ Scribed by B. A. Rogozin


Book ID
112450848
Publisher
SP MAIK Nauka/Interperiodica
Year
1977
Tongue
English
Weight
611 KB
Volume
17
Category
Article
ISSN
0037-4466

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If the coefficients in a Fourier cosine series, f ðxÞ % f N ¼ P 1 n¼0 a n cosðnxÞ, decrease as a small negative power of n, then one may need millions of terms to sum the series to high accuracy. We show that if the a n are known analytically and have a power series in 1=n, then it is straightforwar