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Gegenbauer polynomials

orthogal polynomial sequence on the interval [โˆ’1,1] with respect to the weight function (1โˆ’๐‘ฅยฒ)^{๐›ผโˆ’ยฝ}
Intangible mathematical_concept Q1498246
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Gegenbauer polynomials

Summary

Gegenbauer polynomials is a mathematical concept[1]. It draws 73 Wikipedia views per month (mathematical_concept category, ranking #184 of 1,007).[2]

Key Facts

  • Gegenbauer polynomials's video is recorded as Gegenbauer polynomials.gif[3].
  • Gegenbauer polynomials's image is recorded as Mplwp gegenbauer Cn05a3.svg[4].
  • Gegenbauer polynomials's instance of is recorded as mathematical concept[5].
  • Leopold Gegenbauer is named after Gegenbauer polynomials[6].
  • Gegenbauer polynomials's subclass of is recorded as Jacobi polynomials[7].
  • Gegenbauer polynomials's Commons category is recorded as Gegenbauer polynomials[8].
  • Gegenbauer polynomials's BNCF Thesaurus ID is recorded as 25350[9].
  • Gegenbauer polynomials's Freebase ID is recorded as /m/06npp_[10].
  • Gegenbauer polynomials's defining formula is recorded as \frac1{(1-2xt+t^2)^\alpha}=\sum_{n=0}^\infty C_n^{(\alpha )}(x)t^n[11].
  • Gegenbauer polynomials's MathWorld ID is recorded as GegenbauerPolynomial[12].
  • Gegenbauer polynomials's Quora topic ID is recorded as Gegenbauer-Polynomials[13].
  • Gegenbauer polynomials's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Gegenbauer polynomials's Microsoft Academic ID is recorded as 78540521[15].
  • Gegenbauer polynomials's in defining formula is recorded as C_n^{(\alpha)}(-)[16].
  • Gegenbauer polynomials's in defining formula is recorded as n[17].
  • Gegenbauer polynomials's Treccani's Enciclopedia della Matematica ID is recorded as polinomi-di-gegenbauer_res-544bba80-abc7-11e7-adb0-00271042e8d9[18].
  • Gegenbauer polynomials's OpenAlex ID is recorded as C78540521[19].

Why It Matters

Gegenbauer polynomials draws 73 Wikipedia views per month (mathematical_concept category, ranking #184 of 1,007).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[20] It is known by 9 alternative names across languages and contexts.[21]

References

Programmatic citations โ€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] โ†‘ . wikidata.org.
  2. [4] โ†‘ . wikidata.org.
  3. [5] โ†‘ . wikidata.org.
  4. [6] โ†‘ . wikidata.org.
  5. [7] โ†‘ . wikidata.org.
  6. [8] โ†‘ . wikidata.org.
  7. [9] โ†‘ . Nuovo soggettario. wikidata.org.
  8. [10] โ†‘ . Freebase Data Dumps. wikidata.org.
  9. [11] โ†‘ . wikidata.org.
  10. [12] โ†‘ . wikidata.org.
  11. [13] โ†‘ . Quora. wikidata.org.
  12. [14] โ†‘ . wikidata.org.
  13. [15] โ†‘ . wikidata.org.
  14. [16] โ†‘ . wikidata.org.
  15. [17] โ†‘ . wikidata.org.
  16. [18] โ†‘ . wikidata.org.
  17. [19] โ†‘ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] โ†‘ . Wikidata. wikidata.org.

Aggregate / graph-position facts

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

๐Ÿ“‘ 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). Gegenbauer polynomials. Retrieved May 3, 2026, from https://4ort.xyz/entity/gegenbauer-polynomials
MLA “Gegenbauer polynomials.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/gegenbauer-polynomials.
BibTeX @misc{4ortxyz_gegenbauer-polynomials_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gegenbauer polynomials}}, year = {2026}, url = {https://4ort.xyz/entity/gegenbauer-polynomials}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gegenbauer polynomials — https://4ort.xyz/entity/gegenbauer-polynomials (retrieved 2026-05-03)

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