# A chemical engineering example for lagurre equation

1. Nov 17, 2007

### valentine_18h

Is there anybody here can give me a chemical engineering example that the final differential equation will be LAGUERRE ?

2. Dec 6, 2007

### Staff: Mentor

I've tried finding an example that wasn't buried in a journal. Still working on it.

Laguerre functions/polynomials are obviously the solutions of the Laguerre differential equation:

x y'' + (1-x) y' + $\lambda$ y = 0.

http://www.math.uu.nl/people/ruijgrok/Cestlaguerre2.pdf

http://en.wikipedia.org/wiki/Laguerre_polynomials

http://mathworld.wolfram.com/LaguerrePolynomial.html
http://mathworld.wolfram.com/LaguerreDifferentialEquation.html

http://www.physics.drexel.edu/~tim/open/hydrofin/hyd.html

http://arxiv.org/PS_cache/math/pdf/0610/0610953v1.pdf

Laguerre functions show up in process control - http://www.chemengr.ucsb.edu/~ceweb/faculty/seborg/pdfs/Book_review_Cluett_pub.pdf