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Formula:3578

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Digital Library of Mathematical Functions ID 9.9.E19

U ⁢ ( t ) ∼ t 2 / 3 ⁢ ( 1 - 7 48 ⁢ t - 2 + 35 288 ⁢ t - 4 - 1 81223 2 07360 ⁢ t - 6 + 186 83371 12 44160 ⁢ t - 8 - 9 11458 84361 1911 02976 ⁢ t - 10 + ⋯ ) , asymptotic-expansion 𝑈 𝑡 superscript 𝑡 2 3 1 7 48 superscript 𝑡 2 35 288 superscript 𝑡 4 1 81223 2 07360 superscript 𝑡 6 186 83371 12 44160 superscript 𝑡 8 9 11458 84361 1911 02976 superscript 𝑡 10 ⋯ {\displaystyle{\displaystyle U(t)\sim t^{2/3}\left(1-\frac{7}{48}t^{-2}+\frac{% 35}{288}t^{-4}-\frac{1\;81223}{2\;07360}t^{-6}+\frac{186\;83371}{12\;44160}t^{% -8}-\frac{9\;11458\;84361}{1911\;02976}t^{-10}+\cdots\right),}}


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  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
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