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ProductLog function [message #60106]

Thu, 01 May 2008 04:32

emitchard
Messages: 3
Registered: May 2008

Junior Member

Hi all, I've used Wolfrang Mathmatica to solve an equation for x, and
have been given a solution involving the function ProductLog. I was
wondering if anyone knew if there was any inbuilt capacity in IDL to
evaluate this. It's definitely different to PRODUCT(ALOG(x)), as I've
tried this but results were wrong.

I'm trying to convert a matrix of y's to x's, but the equation I need
to use is:

y = 0.0015x + a(1-exp(-bx))

Mathmatica gave me (to 6sf):

0.333333(-2000.a + 2000.y +
(3.ProductLog(666.667(a.b.exp(666.667b(1.a-1.y)))))/b

I tried this in IDL, but no joy:

(1D/3D)*(-2000D*a + 2000D*y + (3*(PRODUCT(ALOG((2000D/
3D)*a*b*exp((2000D/3D)*b*((a-1D)*(y))))))/b))

Cheers,

Ed

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