DLMF:2.3.E2 (Q717)

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DLMF:2.3.E2
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    0 e - x t q ( t ) d t s = 0 q ( s ) ( 0 ) x s + 1 , asymptotic-expansion superscript subscript 0 superscript 𝑒 𝑥 𝑡 𝑞 𝑡 𝑡 superscript subscript 𝑠 0 superscript 𝑞 𝑠 0 superscript 𝑥 𝑠 1 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-xt}q(t)\mathrm{d}t\sim\sum_{s% =0}^{\infty}\frac{q^{(s)}(0)}{x^{s+1}},}}
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