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Observations on power series involving logarithmic singularities
#23
Though the question was not to me, the matrix form of
or by composition is
where E is the Carleman matrix of exp and so on. is the upper triangular pascal matrix. But this does not help here/gives no way to solve the equation. If we however reduce F to its first column on the left side, we can reduce to the first column on the right side . Then and the fate is on its way and .

For the truncated matrices I think for no is because the Jordan normal form of is a Diagonal matrix with pairwise different eigenvalues while the Jordan normal form of has only the eigenvalue 1.
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RE: Observations on power series involving logarithmic singularities - by bo198214 - 11/06/2007, 12:46 PM

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