The trigonometric series given above can be conveniently evaluated using Clenshaw summation.
2.
In 1916, Menshov completed his dissertation on the topic of trigonometric series.
3.
One of the historical sources for this theory is the study of trigonometric series.
4.
The original statements are rather different ( see Zygmund, " Trigonometric Series ", VII . 8 ).
5.
It can variously be expressed in the form of a definite integral, a trigonometric series, and various other special functions.
6.
His winning paper contained a solution to the problem of the French analyst Rapha�l Salem on sets of uniqueness of trigonometric series.
7.
Between 1870 and 1872, Cantor published more papers on trigonometric series, and also a paper defining irrational numbers as convergent sequences of rational numbers.
8.
Du Bois-Reymond also established that a trigonometric series that converges to a continuous function at every point is the Fourier series of this function.
9.
The works of the Scottish mathematicians James Gregory in the 17th century and Colin Maclaurin in the 18th century were influential in the development of trigonometric series.
10.
He wrote in Polish what soon became, in its English translation, the standard text in analysis, the two-volume " Trigonometric Series ".
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