SED navigation bar go to SED home page go to Dataplot home page go to NIST home page SED Home Page SED Staff SED Projects SED Products and Publications Search SED Pages
Dataplot Vol 2 Vol 1

I0ML0

Name:
    I0ML0 (LET)
Type:
    Library Function
Purpose:
    This program computes the difference of the modified Bessel function of the first kind of order 0 and the modified Struve function of order 0.
Description:
    The I0ML0 function is defined as:

      I0(x) - L0(x)

    with I0 and L0 denoting the modified Bessel function of the first kind of order 0 and the modified Struve function of order 0, respectively.

    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> = I0ML0(<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 I0ML0 function values are stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = I0ML0(2.3)
    PLOT I0ML0(X) FOR X = 0 .01 10
    LET X2 = I0ML0(X1) FOR X1 = 0.1 0.1 3.0
Default:
    None
Synonyms:
    None
Related Commands:
    I1ML1 = Compute the difference of the modified Bessel function of the first kind of order 1 and the modified Struve function of order 1.
    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.
    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.
    LV = Compute the modified Struve function of order V.
    HV = Compute the Struve function of order V.
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 I0ML0 FUNCTION
PLOT I0ML0(X) FOR X = 0 0.01 10
    plot generated by sample program

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