AIRYGI
Name:
Type:
Purpose:
This program computes the modified Airy function
Gi(x).
Description:
The AIRYGI function is defined as:
Dataplot computes this function using ACM Algorithm 757 (see
Reference: below). The function is computed using Chebyshev
expansions, the coefficients of which are given to 20 decimal
places.
Syntax:
LET <y> = AIRYGI(<x>)
<SUBSET/EXCEPT/FOR qualification>
where <x> is a number, variable or parameter;
<y> is a variable or a parameter (depending on what
<x> is) where the computed AIRYGI function
values are stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = AIRYGI(2.3)
PLOT AIRYGI(X) FOR X = -5 0.01 5
LET X2 = AIRYGI(X1) FOR X1 = 0.1 0.1 3.0
Default:
Synonyms:
Related Commands:
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AIRYHI
|
= Compute the modified Airy function Hi.
|
|
AIRY
|
= Compute the Airy function.
|
|
BAIRY
|
= Compute the Airy function of the second kind.
|
|
AIRINT
|
= Compute the integral of the Airy function.
|
|
BIRINT
|
= Compute the integral of the Airy function of the
second kind.
|
|
BESSIN
|
= Compute the modified Bessel function of the first
kind and order N.
|
|
BESSJN
|
= Compute the Bessel function of the first kind and
order N.
|
|
BESSKN
|
= Compute the modified Bessel function of the third
kind and order N.
|
|
BESSYN
|
= Compute the Bessel function of the second kind and
order N.
|
Reference:
"ACM Transactions of Mathematical Software", Allan MacLead,
Vol. 22, No. 3, September, 1996, pp. 288-301.
Applications:
Implementation Date:
Program:
TITLE AIRY GI FUNCTION
PLOT AIRYGI(X) FOR X = -10 0.01 10
Date created: 11/7/2005
Last updated: 11/7/2005
Please email comments on this WWW page to
alan.heckert@nist.gov.
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![AIRYGI(x) = [Integral{0 to infinity} sin(x*t+t^3/3) dt]/pi](eqns/airygi.gif)
