Airy function of the second kind
This functionality does not run in MATLAB.
airyBi(z) represents the Airy function of
the second kind. The Airy functions
linearly independent solutions of the differential equation
airyBi(z) is equivalent to
airyBi(z, n) represents the n-th
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 =
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);
diff(airyBi(x^2), x), float(airyAi(PI))
limit(airyAi(-x), x = infinity), series(airyBi(x, 1), x = infinity, 4)
Arithmetical expression representing a nonnegative integer