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Results tagged with determinants
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user 56553
Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.
16
votes
1
answer
874
views
Hankel determinants of binomial coefficients
For $\{h_{n}\}_{n=0}^{\infty}$ a real sequence, denote by $H_{n}$ the $n\times n$ Hankel matrix of the form
$$
H_{n}:=\begin{pmatrix}
h_{0} & h_{1} & \dots & h_{n-1}\\
h_{1} & h_{2} & \dots & …
- 2,188
1
vote
0
answers
96
views
Determinant formula related to solutions of a second-order recurrence
Let $A$ be the linear map on the space of complex sequences acting as
$$(Au)_{n}=u_{n-1}+a_{n}u_{n}+u_{n+1}, \quad n\in\mathbb{Z},$$
where $\{a_{n}\}$ is a fixed sequence. Let $f=f(z)$ and $g=g(z)$ be …
- 2,188