Maxima 5.46.0 Manual: Airy Functions

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### 15.3 Airy Functions

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.

Function: airy_ai (x)

  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`.

  Categories:Airy functions ·Special functions ·

Function: airy_dai (x)

  The derivative of the Airy function Ai `airy_ai(x)`.

  See `airy_ai`.

  Categories:Airy functions ·Special functions ·

Function: airy_bi (x)

  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`.

  Categories:Airy functions ·Special functions ·

Function: airy_dbi (x)

  The derivative of the Airy Bi function `airy_bi(x)`.

  See `airy_ai` and `airy_bi`.

  Categories:Airy functions ·Special functions ·

Next: Gamma and factorial Functions, Previous: Bessel Functions, Up: Special Functions [Contents][Index]