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Airy function of the second kind

This functionality does not run in MATLAB.

airyBi(z) airyBi(z,n)

`airyBi(z)` represents the Airy function of
the second kind. The Airy functions `airyAi(z)` and `airyBi(z)` are
linearly independent solutions of the differential equation
.

The call `airyBi(z)` is equivalent to `airyBi(z,
0)`.

`airyBi(z, n)` represents the *n*-th
derivative of `airyBi(z)` with respect to *z*.

For *n* ≥ 2,
derivatives of the Airy functions are automatically expressed in terms
of the Airy functions and their first derivative. See Example 1.

`airyBi` returns special values for *z* =
0 and
.
For all other symbolic values of *z*,
unevaluated function calls are returned. See Example 2.

When called with floating-point arguments, this functions is
sensitive to the environment variable `DIGITS` which determines
the numerical working precision.

Second and higher derivatives of Airy functions are rewritten in terms of Airy functions and their first derivatives:

airyAi(x), airyAi(x, 1), airyBi(sin(x), 3)

For *z* = 0,
special values are returned:

airyAi(0), airyBi(0, 1), airyAi(0, 27)

For *n* = 0, 1 and
any symbolic
,
a symbolic call is returned:

airyAi(-1), airyBi(x, 1)

floating-point values are returned for floating-point arguments:

airyBi(0.0), airyAi(-3.24819, 1), airyBi(-3.45 + 2.75*I);

The functions `diff`, `float`, `limit`, and `series` handle expressions
involving the Airy functions

diff(airyBi(x^2), x), float(airyAi(PI))

limit(airyAi(-x), x = infinity), series(airyBi(x, 1), x = infinity, 4)

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