K-function

generalization of the hyperfactorial to complex numbers
Thing function Q1541649
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K-function

Summary

K-function is a function[1]. K-function draws 22 Wikipedia views per month (function category, ranking #66 of 114).[2]

Key Facts

  • K-function's instance of is recorded as function[3].
  • K-function's instance of is recorded as meromorphic function[4].
  • K-function's Freebase ID is recorded as /m/06j8py[5].
  • K-function's definition domain is recorded as set of complex numbers[6].
  • K-function's defining formula is recorded as K(z)=(2\pi)^{(-z+1)/2} \exp\left[\begin{pmatrix} z\ 2\end{pmatrix}+\int_0^{z-1} \ln(\Gamma(t + 1))\,dt\right][7].
  • K-function's MathWorld ID is recorded as K-Function[8].
  • K-function's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • K-function's Microsoft Academic ID is recorded as 46531991[10].
  • K-function's in defining formula is recorded as \pi[11].
  • K-function's in defining formula is recorded as \exp[12].
  • K-function's in defining formula is recorded as \binom{z}{2}[13].
  • K-function's in defining formula is recorded as \int[14].
  • K-function's in defining formula is recorded as \ln[15].
  • K-function's in defining formula is recorded as \Gamma[16].

Why It Matters

K-function draws 22 Wikipedia views per month (function category, ranking #66 of 114).[2] K-function has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[17]

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] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . 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). K-function. Retrieved May 3, 2026, from https://4ort.xyz/entity/k-function
MLA “K-function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/k-function.
BibTeX @misc{4ortxyz_k-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{K-function}}, year = {2026}, url = {https://4ort.xyz/entity/k-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): K-function — https://4ort.xyz/entity/k-function (retrieved 2026-05-03)

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