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[Q] Differential operators <--> polynomials


  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

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