SED navigation bar go to SED home page go to Dataplot home page go to NIST home page SED Home Page SED Contacts SED Projects SED Products and Publications Search SED Pages
Dataplot Vol 1 Auxiliary Chapter

STROM

Name:
    STROM (LET)
Type:
    Library Function
Purpose:
    Compute the Stromgren integral.
Description:
    The Stromgren integral is defined as:

      f(x) = (15/(4*PI**4))*INTEGRAL[t**7*EXP(2*t)/((EXP(t)-1)**3)dt]
       x >= 0 and the integral is defined from 0 to x

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

Syntax:
    LET <y> = STROM(<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 Stromgren integral values are stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = STROM(2)
    LET A = STROM(X)
    LET X2 = STROM(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.
    DEBYE = Compute the Debeye function.
    EXP3 = Compute the cubic exponential integral.
    GOODST = Compute the Goodwin and Stanton integral.
    LOBACH = Compute the Lobachevski integral.
    SYNCH1 = Compute the synchrotron radiation function.
    SYNCH2 = Compute the synchrotron radiation function.
    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:
    TITLE AUTOMATIC
    PLOT STROM(X) FOR X = 0 0.01 10

    plot generated by sample program

Date created: 6/5/2001
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.