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The Airy functions Ai(x) and Bi(x) are defined in Abramowitz and Stegun, Handbook of Mathematical Functions, Section 10.4.
y = Ai(x)
and y = Bi(x)
are two linearly independent solutions
of the Airy differential equation diff (y(x), x, 2) - x y(x) = 0
.
If the argument x
is a real or complex floating point
number, the numerical value of the function is returned.
The Airy function Ai(x). (A&S 10.4.2)
The derivative diff (airy_ai(x), x)
is airy_dai(x)
.
See also airy_bi
, airy_dai
, airy_dbi
.
The derivative of the Airy function Ai airy_ai(x)
.
See airy_ai
.
The Airy function Bi(x). (A&S 10.4.3)
The derivative diff (airy_bi(x), x)
is airy_dbi(x)
.
See airy_ai
, airy_dbi
.
The derivative of the Airy Bi function airy_bi(x)
.
See airy_ai
and airy_bi
.
Next: Gamma and factorial Functions, Previous: Bessel Functions, Up: Special Functions [Contents][Index]