basic hypergeometric series

q-analog of hypergeometric series
Thing hypergeometric_series Q1062958
Press Enter · cited answer in seconds

basic hypergeometric series

Summary

basic hypergeometric series is a hypergeometric series[1]. It draws 38 Wikipedia views per month (hypergeometric_series category, ranking #1 of 1).[2]

Key Facts

  • basic hypergeometric series's instance of is recorded as hypergeometric series[3].
  • basic hypergeometric series's subclass of is recorded as series[4].
  • basic hypergeometric series's Freebase ID is recorded as /m/06x_cn[5].
  • basic hypergeometric series's defining formula is recorded as \;{j}\phi_k \left[\begin{matrix} a_1 & a_2 & \ldots & a{j} \ b_1 & b_2 & \ldots & b_k \end{matrix} ; q,z \right] = \sum_{n=0}^\infty\frac {(a_1, a_2, \ldots, a_{j};q)_n} {(b_1, b_2, \ldots, b_k,q;q)_n} \left((-1)^nq^{n\choose 2}\right)^{1+k-j}z^n[6].
  • basic hypergeometric series's defining formula is recorded as (a_1,a_2,\ldots,a_m;q)_n = (a_1;q)_n (a_2;q)_n \ldots (a_m;q)_n[7].
  • basic hypergeometric series's Google Knowledge Graph ID is recorded as /g/11g0gdgd35[8].
  • basic hypergeometric series's MathWorld ID is recorded as q-HypergeometricFunction[9].
  • basic hypergeometric series's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • basic hypergeometric series's Microsoft Academic ID is recorded as 92941272[11].
  • basic hypergeometric series's OpenAlex ID is recorded as C92941272[12].

Why It Matters

basic hypergeometric series draws 38 Wikipedia views per month (hypergeometric_series category, ranking #1 of 1).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[13] It is known by 5 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] . 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). basic hypergeometric series. Retrieved May 3, 2026, from https://4ort.xyz/entity/basic-hypergeometric-series
MLA “basic hypergeometric series.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/basic-hypergeometric-series.
BibTeX @misc{4ortxyz_basic-hypergeometric-series_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{basic hypergeometric series}}, year = {2026}, url = {https://4ort.xyz/entity/basic-hypergeometric-series}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): basic hypergeometric series — https://4ort.xyz/entity/basic-hypergeometric-series (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/basic-hypergeometric-series · Last refreshed: