Legendre polynomial

solutions to Legendre's differential equation
Thing special_function Q215405
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Summary

Legendre polynomial is a special function[1]. It draws 2,252 Wikipedia views per month (special_function category, ranking #3 of 11).[2]

Key Facts

  • Legendre polynomial is credited with the discovery of Adrien-Marie Legendre[3].
  • Legendre polynomial's instance of is recorded as special function[4].
  • Legendre polynomial's instance of is recorded as Legendre function[5].
  • Legendre polynomial's instance of is recorded as mathematical concept[6].
  • Adrien-Marie Legendre is named after Legendre polynomial[7].
  • Legendre polynomial is a type of polynomial sequence[8].
  • Legendre polynomial is a type of orthogonal polynomials[9].
  • Legendre polynomial is a type of Gegenbauer polynomials[10].
  • Legendre polynomial's Commons category is recorded as Legendre polynomials[11].
  • Legendre polynomial's time of discovery or invention is recorded as 1782[12].
  • Legendre polynomial's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[13].
  • Legendre polynomial's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[14].
  • Legendre polynomial's different from is recorded as associated Legendre polynomials[15].
  • Legendre polynomial's different from is recorded as Legendre function[16].
  • Legendre polynomial's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • Legendre polynomial's solution to is recorded as Legendre differential equation[18].

Body

Definition and Type

Recorded instance of include special function[4], Legendre function[5], and mathematical concept[6]. Recorded subclass of include polynomial sequence[8], orthogonal polynomials[9], and Gegenbauer polynomials[10].

Origins

Adrien-Marie Legendre is named after Legendre polynomial[7].

Influence

Things named for Legendre polynomial include Optimum "L" filter[19].

Why It Matters

Legendre polynomial draws 2,252 Wikipedia views per month (special_function category, ranking #3 of 11).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[20] It is known by 43 alternative names across languages and contexts.[21]

Entities named for it include Optimum "L" filter[19].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] ↑ . wikidata.org.
  2. [5] ↑ . wikidata.org.
  3. [6] ↑ . wikidata.org.
  4. [3] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [19] ↑ . wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] ↑ . Wikidata sitelinks. wikidata.org.
  3. [21] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Legendre polynomial. Retrieved October 14, 2026, from https://4ort.xyz/entity/legendre-polynomial
MLA “Legendre polynomial.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/legendre-polynomial.
BibTeX @misc{4ortxyz_legendre-polynomial_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Legendre polynomial}}, year = {2026}, url = {https://4ort.xyz/entity/legendre-polynomial}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Legendre polynomial — https://4ort.xyz/entity/legendre-polynomial (retrieved 2026-10-14)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 20w ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Different from → associated Legendre polynomials, Legendre function
    Subclass of → polynomial sequence, orthogonal polynomials, Gegenbauer polynomials
    Discoverer or inventor → Adrien-Marie Legendre
    Named after → —
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ National library of israel j9u id: 987007560402505171, mv to monolingual text names on J9U statements"
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