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Formula:8413

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Digital Library of Mathematical Functions ID 25.12.E1

Li 2 ⁡ ( z ) ≡ ∑ n = 1 ∞ z n n 2 , equal-by definition dilogarithm 𝑧 superscript subscript 𝑛 1 superscript 𝑧 𝑛 superscript 𝑛 2 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(z\right)\equiv\sum_{n=1}^{% \infty}\frac{z^{n}}{n^{2}},}}


Constraint(s)

| z | ≤ 1 𝑧 1 {\displaystyle{\displaystyle|z|\leq 1}}

Symbols List

  • ≡ equal-by definition {\displaystyle{\displaystyle\equiv}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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