Question: Hilbert polynomial for Ideals depending by parameters

Hi to all! 

I have the following problem: I need to compute the Hilbert Polynomial of the polynomial ideal ((y-xn)*(y^2-xm)), where the variables are x and y while m and n are parameteres. So, i need the Hilbert Polynomial deending by n and m. Unfortunately i don't know how to "say" to Maple that it have to consider x and y as variabled and m and n as paramaters. Can i do this?

 

Thanks to all!

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