 Dataplot Vol 2 Vol 1

# SYNCH

Name:
SYNCH (LET)
Type:
Library Function
Purpose:
Description:
The first synchrotron radiation function is defined as: where Kn is the modified Bessel function of order n.

The second synchrotron radiation function is defined as: where Kn is the modified Bessel function of order n.

Dataplot computes this function using ACM Algorithm 757 (see Reference: below).

Syntax 1:
LET <y> = SYNCH1(<x>)             <SUBSET/EXCEPT/FOR qualification>
where <x> is a non-negative number, variable or parameter;
<y> is a variable or a parameter (depending on what <x> is) where the computed synchrotron radiation function values are stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax computes the order 1 synchrotron radiation function.

Syntax 2:
LET <y> = SYNCH2(<x>)             <SUBSET/EXCEPT/FOR qualification>
where <x> is a non-negative number, variable or parameter;
<y> is a variable or a parameter (depending on what <x> is) where the computed synchrotron radiation function values are stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax computes the order 2 synchrotron radiation function.

Examples:
LET A = SYNCH1(2)
LET A = SYNCH2(X)
LET X2 = SYNCH1(X) FOR X1 = 0.1 0.1 3.0
Default:
None
Synonyms:
None
Related Commands:
 ABRAM = Compute the Abramowitz integral. CLAUSN = Compute the Clausen integral. DEBEYE = Compute the Debeye function. EXP3 = Compute the cubic exponential integral. GOODST = Compute the Goodwin and Stanton integral. LOBACH = Compute the Lobachevski integral. STROM = Compute the Stromgren integral. TRAN = Compute the transport integral.
Reference:
"ACM Transactions of Mathematical Software", Allan MacLead, Vol. 22, No. 3, September, 1996, pp. 288-301.
Applications:
Special Functions
Implementation Date:
1999/6
Program:

Date created: 6/5/2001
Last updated: 4/4/2003