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Formula:3288

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Digital Library of Mathematical Functions ID 8.11.E17

S n ⁢ ( - 1 ) ∼ - 1 2 + 1 8 ⁢ n - 1 + 1 32 ⁢ n - 2 - 1 128 ⁢ n - 3 - 13 512 ⁢ n - 4 + … . asymptotic-expansion subscript 𝑆 𝑛 1 1 2 1 8 superscript 𝑛 1 1 32 superscript 𝑛 2 1 128 superscript 𝑛 3 13 512 superscript 𝑛 4 … {\displaystyle{\displaystyle S_{n}(-1)\sim-\tfrac{1}{2}+\tfrac{1}{8}n^{-1}+% \tfrac{1}{32}n^{-2}-\tfrac{1}{128}n^{-3}-\tfrac{13}{512}n^{-4}+\dots.}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • S n ⁢ ( x ) subscript 𝑆 𝑛 𝑥 {\displaystyle{\displaystyle S_{n}(x)}} : function (locally)
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