Trigonometric Series via Laplace Transforms
نویسنده
چکیده
Costas J. Efthimiou Department of Physics University of Central Florida Orlando, FL 32816 USA Introduction In another NOTE in this MAGAZINE, the author presented a method [2] that uses the Laplace transform and allows one to find exact values for a large class of convergent series of rational terms. Recently, in this MAGAZINE too, Lesko and Smith [3] revisited the method and demonstrated an extension of the original idea to additional infinite series. Our intention in this note is to illustrate the power of the technique in the case of trigonometric series. Trigonometric series Trigonometric series play a vital role in mathematics and physics. Many results are known but most of them can be obtained only via Fourier analysis. For example ∞ ∑
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