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Formula:3580

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Digital Library of Mathematical Functions ID 9.9.E21

W ⁢ ( t ) ∼ π - 1 / 2 ⁢ t - 1 / 6 ⁢ ( 1 - 7 96 ⁢ t - 2 + 1673 6144 ⁢ t - 4 - 843 94709 265 42080 ⁢ t - 6 + 78 02771 35421 1 01921 58720 ⁢ t - 8 - 20444 90510 51945 6 52298 15808 ⁢ t - 10 + ⋯ ) . asymptotic-expansion 𝑊 𝑡 superscript 𝜋 1 2 superscript 𝑡 1 6 1 7 96 superscript 𝑡 2 1673 6144 superscript 𝑡 4 843 94709 265 42080 superscript 𝑡 6 78 02771 35421 1 01921 58720 superscript 𝑡 8 20444 90510 51945 6 52298 15808 superscript 𝑡 10 ⋯ {\displaystyle{\displaystyle W(t)\sim\pi^{-1/2}t^{-1/6}\left(1-\frac{7}{96}t^{% -2}+\frac{1673}{6144}t^{-4}-\frac{843\;94709}{265\;42080}t^{-6}+\frac{78\;0277% 1\;35421}{1\;01921\;58720}t^{-8}-\frac{20444\;90510\;51945}{6\;52298\;15808}t^% {-10}+\cdots\right).}}


Constraint(s)

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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