AI Airy Ai
AI.1 Introduction |
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Let
be a complex variable of
.The function Airy Ai (noted
) is defined by the following second order differential equation
| AI.1.1 |
The initial conditions of AI.1.1 are given at
by
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AI.1.2 |
Related function: Airy Bi
AI.2 Series and asymptotic expansions |
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AI.2.1 Taylor expansion at
|
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AI.2.1.2 General form |
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AI.2.1.2.1 |

| AI.2.1.2.2 |
| AI.2.1.2.3 |
| AI.2.1.2.4 |