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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