Catalan's constant

proper noun

The number G=β(2)=∑ₙ₌₀ ᪲((-1)ⁿ)/((2n+1)²)=1/(1²)-1/(3²)+1/(5²)-1/(7²)+1/(9²)-⋯, where β is the Dirichlet beta function, with a value of approximately 0.915965594177…

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Meanings

proper noun
  1. mathematicsThe number G=β(2)=∑ₙ₌₀ ᪲((-1)ⁿ)/((2n+1)²)=1/(1²)-1/(3²)+1/(5²)-1/(7²)+1/(9²)-⋯, where β is the Dirichlet beta function, with a value of approximately 0.915965594177…

Origin

Named after French and Belgian mathematician Eugène Charles Catalan.

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Cite this entry
APA

Catalan's constant. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Catalan's%20constant

MLA

“Catalan's constant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Catalan's%20constant. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Catalan's constant,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Catalan's%20constant.

Source: Catalan's constant on Wiktionary, CC BY-SA 4.0.