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Formula:8736

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Digital Library of Mathematical Functions ID 27.7.E3

∑ n = 1 ∞ μ ⁡ ( n ) ⁢ x n 1 - x n = x , superscript subscript 𝑛 1 Moebius-mu 𝑛 superscript 𝑥 𝑛 1 superscript 𝑥 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}\mu\left(n\right)\frac{x^{n}}{1% -x^{n}}=x,}}


Constraint(s)

| x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}

Symbols List

  • μ ⁡ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}} : Möbius function
  • n 𝑛 {\displaystyle{\displaystyle n}} : positive integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real number
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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