Poisson kernel

mathematical concept
Intangible mathematical_concept Q2596534
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Poisson kernel

Summary

Poisson kernel is a mathematical concept[1]. It draws 192 Wikipedia views per month (mathematical_concept category, ranking #119 of 1,007).[2]

Key Facts

  • Poisson kernel's instance of is recorded as mathematical concept[3].
  • Poisson kernel's subclass of is recorded as kernel[4].
  • Poisson kernel's Freebase ID is recorded as /m/06whr3[5].
  • Poisson kernel's defining formula is recorded as P_r(\theta) = \sum_{n=-\infty}^\infty r^{|n|}e^{in\theta} = \frac{1-r^2}{1-2r\cos\theta +r^2} = \operatorname{Re}\left(\frac{1+re^{i\theta}}{1-re^{i\theta}}\right), \ \ \ 0 \le r < 1[6].
  • Poisson kernel's studied by is recorded as thermodynamics[7].
  • Poisson kernel's MathWorld ID is recorded as PoissonKernel[8].
  • Poisson kernel's Quora topic ID is recorded as Poisson-Kernel[9].
  • Poisson kernel's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Poisson kernel's Microsoft Academic ID is recorded as 8077415[11].
  • Poisson kernel's OpenAlex ID is recorded as C8077415[12].

Why It Matters

Poisson kernel draws 192 Wikipedia views per month (mathematical_concept category, ranking #119 of 1,007).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[13] It is known by 8 alternative names across languages and contexts.[14]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Quora. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . 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. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). Poisson kernel. Retrieved May 3, 2026, from https://4ort.xyz/entity/poisson-kernel
MLA “Poisson kernel.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/poisson-kernel.
BibTeX @misc{4ortxyz_poisson-kernel_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Poisson kernel}}, year = {2026}, url = {https://4ort.xyz/entity/poisson-kernel}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Poisson kernel — https://4ort.xyz/entity/poisson-kernel (retrieved 2026-05-03)

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