Meanings
plural Barnes integrals
- mathematicsA contour integral involving a product of gamma functions, closely related to generalized hypergeometric series.
Synonyms: Mellin-Barnes integral
Synonyms & antonyms
nounA contour integral involving a product of gamma functions, closely related to generalized hypergeometric series.
Origin
They were introduced by Ernest William Barnes.
Full word history & related roots →Cite this entry
Barnes integral. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Barnes%20integral
“Barnes integral.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Barnes%20integral. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “Barnes integral,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Barnes%20integral.
Source: Barnes integral on Wiktionary, CC BY-SA 4.0.