|
LAMBDAPName:
where v is the order of the lambda function, is the gamma function, and is the Bessel function of the first kind. Dataplot supports a maximum order of 500. The derivative of the lambda function can be defined in terms of the lambda function:
Dataplot computes this function using the LAMV and LAMN routines from "Computation of Special Functions" (see the Reference section below).
where <x> is a number, variable or parameter; <v> is a number, parameter, or variable (less than 500); <y> is a variable or a parameter (depending on what <x> and <v> are) where the computed lambda function derivative values are stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET A = LAMBDAP(X,A1) LET X2 = LAMBDAP(X1,4) FOR X1 = 0.1 0.1 3.0
MULTIPLOT CORNER COORDINATES 5 5 95 95 TITLE ORDER 0 PLOT LAMBDAP(X,0) FOR X = 0 0.01 10 TITLE ORDER 1 PLOT LAMBDAP(X,1) FOR X = 0 0.01 10 TITLE ORDER 2 PLOT LAMBDAP(X,2) FOR X = 0 0.01 10 TITLE ORDER 3 PLOT LAMBDAP(X,3) FOR X = 0 0.01 10 END OF MULTIPLOT MOVE 50 97 JUSTIFICATION CENTER TEXT DERIVATIVE OF LAMBDA FUNCTIONS
Date created: 6/5/2001 |