See Barnes integral in All languages combined, or 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 English (1.1kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.