[Q] Differential operators <--> polynomials

*To*: mathgroup at christensen.cybernetics.net*Subject*: [mg1243] [Q] Differential operators <--> polynomials*From*: ozan at matematik.su.se.\V.\V (Ozan \Vktem)*Date*: Fri, 26 May 1995 06:00:07 -0400*Organization*: Department of Mathematics, Stockholm university

Hi, I would like to be able to "convert" a polynomial to its associated differential operator. I am pretty sure that this is done, but I could not find it anywhere. A package that works like the example below would be very nice to have. Example: The package provides the command "DPoly" and DPoly[12 x^2+3 x-2,f[b,s],b] should be equivalent to 12 D[f[b,s],{b,2}]+3 D[f[b,2],b]-2 f[b,s] Answer by e-mail please. Thank's in advance, Ozan Vktem e-mail: ozan at matematik.su.se