Kravchuk polynomials

discrete orthogonal polynomials
Intangible mathematical_concept Q4298931
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Kravchuk polynomials

Summary

Kravchuk polynomials is a mathematical concept[1]. It draws 36 Wikipedia views per month (mathematical_concept category, ranking #227 of 1,007).[2]

Key Facts

  • Kravchuk polynomials is credited with the discovery of Mykhailo Kravchuk[3].
  • Kravchuk polynomials's instance of is recorded as mathematical concept[4].
  • Mykhailo Kravchuk is named after Kravchuk polynomials[5].
  • Kravchuk polynomials's subclass of is recorded as Meixner polynomials[6].
  • Kravchuk polynomials's Commons category is recorded as Kravchuk polynomials[7].
  • Kravchuk polynomials's Freebase ID is recorded as /m/02qxmtm[8].
  • Kravchuk polynomials's defining formula is recorded as \mathcal{K}k(x; n,q) = \mathcal{K}_k(x) = \sum{j=0}^{k}(-1)^j (q-1)^{k-j} \binom {x}{j} \binom{n-x}{k-j}, \quad k=0,1, \ldots, n[9].
  • Kravchuk polynomials's MathWorld ID is recorded as KrawtchoukPolynomial[10].
  • Kravchuk polynomials's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Kravchuk polynomials's Microsoft Academic ID is recorded as 118797610[12].
  • Kravchuk polynomials's Encyclopedia of Mathematics article ID is recorded as Krawtchouk_polynomials[13].
  • Kravchuk polynomials's OpenAlex ID is recorded as C118797610[14].

Body

Works and Contributions

Kravchuk polynomials is credited with the discovery of Mykhailo Kravchuk[3].

Why It Matters

Kravchuk polynomials draws 36 Wikipedia views per month (mathematical_concept category, ranking #227 of 1,007).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[15]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. 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). Kravchuk polynomials. Retrieved May 3, 2026, from https://4ort.xyz/entity/kravchuk-polynomials
MLA “Kravchuk polynomials.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/kravchuk-polynomials.
BibTeX @misc{4ortxyz_kravchuk-polynomials_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kravchuk polynomials}}, year = {2026}, url = {https://4ort.xyz/entity/kravchuk-polynomials}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kravchuk polynomials — https://4ort.xyz/entity/kravchuk-polynomials (retrieved 2026-05-03)

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