Examples of Asymptotic Expansions
- Gamma function
- Exponential integral
- Riemann zeta function
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where are Bernoulli numbers and is a rising factorial. This expansion is valid for all complex s and is often used to compute the zeta function by using a large enough value of N, for instance .
- Error function
Read more about this topic: Asymptotic Theory
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“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold peoples attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)