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Results tagged with hankel-matrices
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user 10881
Hankel matrices are square matrices whose coefficients $a_{i,j}$ only depend on the sum $i+j$. They appear in particular in the theory of orthogonal polynomials on the real line.
4
votes
A continued J fraction for $a_n = \frac{1}{(n+1)^2}$?
Sagemath can do that too
sage: x = PowerSeriesRing(QQ,'x').gen()
sage: f = sum(x**n/(n+1)**2 for n in range(20)).O(20)
sage: f.jacobi_continued_fraction()
((-1/4, -7/144),
(-13/28, -647/110 …
- 3,597