Airy function Bi

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Airy function Bi

Summary

Airy function Bi is an Airy function^[1].

Key Facts

Airy function Bi's image is recorded as AiryBi Abs Contour.svg^[2].
Airy function Bi's instance of is recorded as Airy function^[3].
George Biddell Airy is named after Airy function Bi^[4].
Airy function Bi's defining formula is recorded as \begin{array}{lcl} \mathrm{Bi}(z) & = & \sqrt{\frac{z}{3}} \left(\mathrm{I}{-\frac{1}{3}}(w) + \mathrm{I}{\frac{1}{3}}(w)\right) \ w & = & \frac{2}{3} z^{\frac{3}{2}} \end{array}^[5].
Airy function Bi's MathWorld ID is recorded as AiryBi^[6].
Airy function Bi's maintained by WikiProject is recorded as WikiProject Mathematics^[7].
Airy function Bi's in defining formula is recorded as \mathrm{Bi}(z)^[8].
Airy function Bi's in defining formula is recorded as \mathrm{I}_{\nu}(z)^[9].

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Quick Facts

Instance of Airy function

Properties

Defining formula \begin{array}{lcl} \mathrm{Bi}(z) & = & \sqrt{\frac{z}{3}} \left(\mathrm{I}_{-\frac{1}{3}}(w) + \mathrm{I}_{\frac{1}{3}}(w)\right) \\ w & = & \frac{2}{3} z^{\frac{3}{2}} \end{array}

Imported from wholeness_audit_2026-05-02

In defining formula \mathrm{Bi}(z), \mathrm{I}_{\nu}(z)

Maintained by wikiproject WikiProject Mathematics

Named after George Biddell Airy

External References (1)

Mathworld id AiryBi

References

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

Direct Wikidata claims

[2] ↑ Airy function Bi — image (P18): AiryBi Abs Contour.svg. wikidata.org.
[3] ↑ Airy function Bi — instance of (P31): Airy function. wikidata.org.
[4] ↑ Airy function Bi — named after (P138): George Biddell Airy. wikidata.org.
[5] ↑ Airy function Bi — defining formula (P2534): \begin{array}{lcl} \mathrm{Bi}(z) & = & \sqrt{\frac{z}{3}} \left(\mathrm{I}_{-\frac{1}{3}}(w) + \mathrm{I}_{\frac{1}{3}}(w)\right) \\ w & = & \frac{2}{3} z^{\frac{3}{2}} \end{array}. ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
[6] ↑ Airy function Bi — MathWorld ID (P2812): AiryBi. wikidata.org.
[7] ↑ Airy function Bi — maintained by WikiProject (P6104): WikiProject Mathematics. wikidata.org.
[8] ↑ Airy function Bi — in defining formula (P7235): \mathrm{Bi}(z). wikidata.org.
[9] ↑ Airy function Bi — in defining formula (P7235): \mathrm{I}_{\nu}(z). wikidata.org.

Class ancestry

[1] ↑ Airy function Bi is an instance of Airy function (Q409415) [P31, primary]. Wikidata. wikidata.org.

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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). Airy function Bi. Retrieved May 3, 2026, from https://4ort.xyz/entity/airy-function-bi

MLA “Airy function Bi.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/airy-function-bi.

BibTeX

@misc{4ortxyz_airy-function-bi_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Airy function Bi}}, year = {2026}, url = {https://4ort.xyz/entity/airy-function-bi}, note = {Accessed: 2026-05-03}}

LLM prompt

According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Airy function Bi — https://4ort.xyz/entity/airy-function-bi (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/airy-function-bi · Last refreshed: May 3, 2026