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Formula:3579

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Digital Library of Mathematical Functions ID 9.9.E20

V ⁢ ( t ) ∼ π - 1 / 2 ⁢ t 1 / 6 ⁢ ( 1 + 5 48 ⁢ t - 2 - 1525 4608 ⁢ t - 4 + 23 97875 6 63552 ⁢ t - 6 - 7 48989 40625 8918 13888 ⁢ t - 8 + 14419 83037 34375 4 28070 66624 ⁢ t - 10 - ⋯ ) , asymptotic-expansion 𝑉 𝑡 superscript 𝜋 1 2 superscript 𝑡 1 6 1 5 48 superscript 𝑡 2 1525 4608 superscript 𝑡 4 23 97875 6 63552 superscript 𝑡 6 7 48989 40625 8918 13888 superscript 𝑡 8 14419 83037 34375 4 28070 66624 superscript 𝑡 10 ⋯ {\displaystyle{\displaystyle V(t)\sim\pi^{-1/2}t^{1/6}\left(1+\frac{5}{48}t^{-% 2}-\frac{1525}{4608}t^{-4}+\frac{23\;97875}{6\;63552}t^{-6}-\frac{7\;48989\;40% 625}{8918\;13888}t^{-8}+\frac{14419\;83037\;34375}{4\;28070\;66624}t^{-10}-% \cdots\right),}}


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Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
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