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3
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1answer
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Series around $s=1$ for an integral
Consider the function $$F(s)=\int_{1}^{\infty}\frac{\text{Li}(x)}{x^{s+1}}dx$$ where $\text{Li}(x)=\int_2^x \frac{1}{\log t}dt$ is the logarithmic integral. What is the series expansion around $s=1$?
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25
votes
4answers
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Connection between fourier transform and taylor series
Both fourier transform and taylor series are means to represent functions in a different form.
My question:
What is the connection between these two? Is there a way to get from one to the other (and ...
