Dataplot Vol 2 Vol 1

# AIRYHI

Name:
AIRYHI (LET)
Type:
Library Function
Purpose:
This program computes the modified Airy function Hi(x).
Description:
The AIRYHI 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> = AIRYHI(<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 AIRYHI function values are stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = AIRYHI(2.3)
PLOT AIRYHI(X) FOR X = -5 0.01 5
LET X2 = AIRYHI(X1) FOR X1 = 0.1 0.1 3.0
Default:
None
Synonyms:
None
Related Commands:
 AIRYGI = Compute the modified Airy function Gi. 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:
Special Functions
Implementation Date:
2005/11
Program:
```
TITLE AIRYHI FUNCTION
PLOT AIRGHI(X) FOR X = -3 0.01 3
```

Date created: 11/7/2005
Last updated: 11/7/2005
Please email comments on this WWW page to alan.heckert@nist.gov.