BIRINT
Name:
Type:
Purpose:
This program computes the integral of the Airy function
B_{i}(x).
Description:
The BIRINT function is defined as:
with B_{i} denoting the
Airy function of the second kind.
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> = BIRINT(<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 BIRINT function
values are stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = BIRINT(2.3)
PLOT BIRINT(X) FOR X = 5 0.01 5
LET X2 = BIRINT(X1) FOR X1 = 0.1 0.1 3.0
Default:
Synonyms:
Related Commands:
BAIRY

= Compute the Airy function of the second kind.

AIRY

= Compute the Airy function.

AIRINT

= Compute the integral of the Airy function.

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.

J0INT

= Compute the integral of the Bessel function of the
first kind and order 0.

K0INT

= Compute the integral of the modified Bessel function
of the third kind and order 0.

Y0INT

= Compute the integral of the Bessel function of the
second kind and order 0.

Reference:
"ACM Transactions of Mathematical Software", Allan MacLead,
Vol. 22, No. 3, September, 1996, pp. 288301.
Applications:
Implementation Date:
Program:
TITLE BIRINT FUNCTION
PLOT BIRINT(X) FOR X = 5 0.01 5
Date created: 11/7/2005
Last updated: 11/7/2005
Please email comments on this WWW page to
alan.heckert@nist.gov.
