Difference between revisions of "Airy Bi"
From specialfunctionswiki
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| − | + | The Airy function $\mathrm{Bi}$ (sometimes called the "Bairy function") is a solution of the Airy differential equation | |
| − | $$y''(z)-zy(z)=0 | + | $$y''(z)-zy(z)=0,$$ |
| + | which is linearly independent from the [[Airy Ai]] function. | ||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | |||
File:Airybi.png|Aairy $\mathrm{Bi}$ function. | File:Airybi.png|Aairy $\mathrm{Bi}$ function. | ||
| − | |||
File:Complexairybi.png|[[Domain coloring]] of analytic continuation of $\mathrm{Bi}$. | File:Complexairybi.png|[[Domain coloring]] of analytic continuation of $\mathrm{Bi}$. | ||
</gallery> | </gallery> | ||
Revision as of 23:15, 6 May 2015
The Airy function $\mathrm{Bi}$ (sometimes called the "Bairy function") is a solution of the Airy differential equation $$y(z)-zy(z)=0,$$ which is linearly independent from the Airy Ai function.
- Airybi.png
Aairy $\mathrm{Bi}$ function.
- Complexairybi.png
Domain coloring of analytic continuation of $\mathrm{Bi}$.
Videos
Airy differential equation
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References
The mathematics of rainbows
Tables of Weyl Fractional Integrals for the Airy Function
Special Functions: An Introduction to the Classical Functions of Mathematical Physics
Airy function zeros
