Barnes integral

noun

A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series.

Meanings

nounBarnes integral (plural Barnes integrals)

plural Barnes integrals

  1. 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
APA

Barnes integral. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Barnes%20integral

MLA

“Barnes integral.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Barnes%20integral. Accessed November 4, 2026.

Chicago

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.