Difference between revisions of "Airy Ai"
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[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
The Airy function $\mathrm{Ai}$ is a solution of the [[Airy differential equation]] linearly independent from the [[Airy Bi]] function. | The Airy function $\mathrm{Ai}$ is a solution of the [[Airy differential equation]] linearly independent from the [[Airy Bi]] function. | ||
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=Videos= | =Videos= | ||
| − | [https://www.youtube.com/watch?v= | + | [https://www.youtube.com/watch?v=HlX62TkR6gc&noredirect=1 Leading Tsunami wave reaching the shore (27 November 2009)]<br /> |
| − | [https://www.youtube.com/watch?v=0jnXdXfIbKk&noredirect=1 Series solution of ode: Airy's equation]<br /> | + | [https://www.youtube.com/watch?v=0jnXdXfIbKk&noredirect=1 Series solution of ode: Airy's equation (3 November 2010)]<br /> |
| − | [https://www.youtube.com/watch?v= | + | [https://www.youtube.com/watch?v=oYJq3mhg5yE&noredirect=1 Airy differential equation (26 November 2013)]<br /> |
=References= | =References= | ||
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[http://www.ams.org/journals/mcom/1979-33-145/S0025-5718-1979-0514831-8/S0025-5718-1979-0514831-8.pdf Tables of Weyl Fractional Integrals for the Airy Function]<br /> | [http://www.ams.org/journals/mcom/1979-33-145/S0025-5718-1979-0514831-8/S0025-5718-1979-0514831-8.pdf Tables of Weyl Fractional Integrals for the Airy Function]<br /> | ||
[http://www.amazon.com/Special-Functions-Introduction-Classical-Mathematical/dp/0471113131 Special Functions: An Introduction to the Classical Functions of Mathematical Physics]<br /> | [http://www.amazon.com/Special-Functions-Introduction-Classical-Mathematical/dp/0471113131 Special Functions: An Introduction to the Classical Functions of Mathematical Physics]<br /> | ||
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=See Also= | =See Also= | ||
Latest revision as of 02:00, 18 December 2016
The Airy function $\mathrm{Ai}$ is a solution of the Airy differential equation linearly independent from the Airy Bi function.
Graph of the Airy $\mathrm{Ai}$ function.
Domain coloring of Airy $\mathrm{Ai}$.
Properties
Integral representation of Airy Ai
Value of Ai(0)
Value of Ai'(0)
Relationship between Airy Ai and modified Bessel K
Relationship between Scorer Gi and Airy functions
Relationship between Scorer Hi and Airy functions
Videos
Leading Tsunami wave reaching the shore (27 November 2009)
Series solution of ode: Airy's equation (3 November 2010)
Airy differential equation (26 November 2013)
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
