FW: homogeneous ... Witt ?

Meeussen Wouter (bkarnd) wouter.meeussen at vandemoortele.com
Thu Aug 23 19:25:07 CEST 2001


hi again,

> Michael  Somos pointed out an omission:   
> 
> I see that I omitted adding the terms to form a polynome,
> in the example of hom_6 :
> 
>   z[1]^6 + z[1]^5*z[2] +  z[1]^4*z[2]^2 + z[1]^4*z[2]*z[3] +
>   z[1]^3*z[2]^3 + z[1]^3*z[2]^2*z[3] +
>   z[1]^3*z[2]*z[3]*z[4] + z[1]^2*z[2]^2*z[3]^2 + 
>   z[1]^2*z[2]^2*z[3]*z[4] + z[1]^2*z[2]*z[3]*z[4]*z[5] +
>   z[1]*z[2]*z[3]*z[4]*z[5]*z[6] 
> 
>  call this "hom_6" because it is a homogenous polynome in the z[k], k=1..6
> 
> Only then do we get equations by setting hom_k = catalan[k],
> and transforms by substituting 
> a[1] for z[1]  in hom_k for k=1..infinity    
> a[2] for z[2]  in hom_k for k=2 ..infinity    
> ...
> a[n] for z[n] in hom_k for k=n..infinity
> 
> 
> Wouter Meeussen
> tel +32 (0)51 33 21 24
> fax +32 (0)51 33 21 75
> wouter.meeussen at vandemoortele.com
> 
> 


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