See Barnes integral on Wiktionary
{
"etymology_text": "They were introduced by Ernest William Barnes.",
"forms": [
{
"form": "Barnes integrals",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Barnes integral (plural Barnes integrals)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Functions",
"orig": "en:Functions",
"parents": [
"Algebra",
"Calculus",
"Geometry",
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series."
],
"id": "en-Barnes_integral-en-noun-ML~tZHWg",
"links": [
[
"mathematics",
"mathematics"
],
[
"contour integral",
"contour integral"
],
[
"product",
"product"
],
[
"gamma function",
"gamma function"
]
],
"raw_glosses": [
"(mathematics) A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series."
],
"synonyms": [
{
"word": "Mellin-Barnes integral"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Ernest William Barnes"
]
}
],
"word": "Barnes integral"
}
{
"etymology_text": "They were introduced by Ernest William Barnes.",
"forms": [
{
"form": "Barnes integrals",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Barnes integral (plural Barnes integrals)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Functions",
"en:Mathematics"
],
"glosses": [
"A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"contour integral",
"contour integral"
],
[
"product",
"product"
],
[
"gamma function",
"gamma function"
]
],
"raw_glosses": [
"(mathematics) A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series."
],
"synonyms": [
{
"word": "Mellin-Barnes integral"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Ernest William Barnes"
]
}
],
"word": "Barnes integral"
}
Download raw JSONL data for Barnes integral meaning in All languages combined (1.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-03-01 from the enwiktionary dump dated 2025-02-21 using wiktextract (7c21d10 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.