"Pochhammer symbol" meaning in All languages combined

See Pochhammer symbol on Wiktionary

Noun [English]

Forms: Pochhammer symbols [plural]
Etymology: Introduced by Leo August Pochhammer. Head templates: {{en-noun}} Pochhammer symbol (plural Pochhammer symbols)
  1. (mathematics) The notation (x)ₙ, where n is a non-negative integer, which depending on the context represents either the rising factorial or the falling factorial. Wikipedia link: Leo August Pochhammer
    Sense id: en-Pochhammer_symbol-en-noun-gQ6ipBCD Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Mathematics Topics: mathematics, sciences

Inflected forms

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  "etymology_text": "Introduced by Leo August Pochhammer.",
  "forms": [
    {
      "form": "Pochhammer symbols",
      "tags": [
        "plural"
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  ],
  "head_templates": [
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      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
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        {
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          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
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          "parents": [],
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        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "The notation (x)ₙ, where n is a non-negative integer, which depending on the context represents either the rising factorial or the falling factorial."
      ],
      "id": "en-Pochhammer_symbol-en-noun-gQ6ipBCD",
      "links": [
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          "mathematics"
        ],
        [
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        [
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          "integer"
        ],
        [
          "rising factorial",
          "rising factorial"
        ],
        [
          "falling factorial",
          "falling factorial"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The notation (x)ₙ, where n is a non-negative integer, which depending on the context represents either the rising factorial or the falling factorial."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Leo August Pochhammer"
      ]
    }
  ],
  "word": "Pochhammer symbol"
}
{
  "etymology_text": "Introduced by Leo August Pochhammer.",
  "forms": [
    {
      "form": "Pochhammer symbols",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pochhammer symbol (plural Pochhammer symbols)",
      "name": "en-noun"
    }
  ],
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  "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:Mathematics"
      ],
      "glosses": [
        "The notation (x)ₙ, where n is a non-negative integer, which depending on the context represents either the rising factorial or the falling factorial."
      ],
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        [
          "mathematics",
          "mathematics"
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        [
          "notation",
          "notation"
        ],
        [
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        ],
        [
          "rising factorial",
          "rising factorial"
        ],
        [
          "falling factorial",
          "falling factorial"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The notation (x)ₙ, where n is a non-negative integer, which depending on the context represents either the rising factorial or the falling factorial."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Leo August Pochhammer"
      ]
    }
  ],
  "word": "Pochhammer symbol"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-06-01 from the enwiktionary dump dated 2025-05-20 using wiktextract (3dadd05 and f1c2b61). 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.