An explicit formula for the inverse of a factorial Hankel matrix

Abstract

We consider the $n\times n$ Hankel matrix $H$ whose entries are defined by $H_{ij}=1/s_{i+j}$ where $s_k=(k-1)!$ and prove that $H$ is invertible for all $n\in \mathbb{N}$ by providing an explicit formula for its inverse matrix.

arXiv comment5 pages; updated reference [2]

References in corpus (1)

• Small-time fluctuations for the bridge in a model class of hypoelliptic diffusions of weak Hörmander type

Cited by in corpus (1)

• A semicircle law and decorrelation phenomena for iterated Kolmogorov loops