Legendre's differential equation in English

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{
  "etymology_text": "Named after French mathematician Adrien-Marie Legendre (1752–1833).",
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        "The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0."
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        "(mathematics) The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0."
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      "wikipedia": [
        "Legendre's differential equation"
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  "word": "Legendre's differential equation"
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[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after French mathematician Adrien-Marie Legendre (1752–1833).",
  "head_templates": [
    {
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        "The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0."
      ],
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          "mathematics",
          "mathematics"
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        "(mathematics) The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0."
      ],
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        "mathematics",
        "sciences"
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  "word": "Legendre's differential equation"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-17 from the enwiktionary dump dated 2025-02-02 using wiktextract (ca09fec and c40eb85). 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.

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"Legendre's differential equation" meaning in English

Proper name