airy 函数
airy 函数
Airy functions
Airy 函数
Syntax
语法
W = airy(Z)
W = airy(k,Z)
[W,ierr] = airy(k,Z)
Definition
定义
The Airy functions form a pair of linearly independent solutions to
Airy 函数来自一个线性无关系解决方案对：
The relationship between the Airy and modified Bessel functions is
这个关系居于Airy和修正贝塞耳函数之间是：
Where
在这里
Description
描述
W = airy(Z) returns the Airy function, , for each element of the complex array Z.
W=airy(Z)返回Airy函数，Ai(Z)，复数阵列Z的每个元素。
W = airy(k,Z) returns different results depending on the value of k.
W=airy(k,Z)返回不同的结果取决于k的值上。
| k |
Returns 返回值 |
| 0 |
The same result as airy(Z) 与airy(Z)的结果相同 |
| 1 |
The derivative, 导数，Ai'(Z) |
| 2 |
The Airy function of the second kind, 第二种的Airy 函数，Bi(Z) |
| 3 |
The derivative, 导数，Bi'(Z) |
[W,ierr] = airy(k,Z) also returns completion flags in an array the same size as W.
[W,ierr]=airy(k,Z)也返回完成标志，在与W阵列相同大小的阵列。
| ierr |
Description 描述 |
| 0 |
airy succesfully computed the Airy function for this element. airy成功的完成了Airy函数关于这个元素的计算 |
| 1 |
Illegal arguments 非法变量 |
| 2 |
Overflow. Returns Inf 溢出，返回inf（去穷大） |
| 3 |
Some loss of accuracy in argument reduction 自变量减少中精度有一些误差 |
| 4 |
Unacceptable loss of accuracy, Z too large Z太过庞大，无意义的精度误差 |
| 5 |
No convergence. Returns NaN 返回NaN，不收敛 |