Dataplot Vol 2 Vol 1

# BIRINT

Name:
BIRINT (LET)
Type:
Library Function
Purpose:
This program computes the integral of the Airy function Bi(x).
Description:
The BIRINT function is defined as:

with Bi 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:
None
Synonyms:
None
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. 288-301.
Applications:
Special Functions
Implementation Date:
2005/11
Program:
TITLE BIRINT FUNCTION
PLOT BIRINT(X) FOR X = -5 0.01 5

Date created: 11/7/2005
Last updated: 11/7/2005