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Univalent power series whose coefficients have monotonic properties

✍ Scribed by Thomas H. MacGregor


Publisher
Springer-Verlag
Year
1969
Tongue
French
Weight
252 KB
Volume
112
Category
Article
ISSN
0025-5874

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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