Daniel Yaqubi and Christian Krattenthaler
Some determinants of path generating functions, II
(32 pages)
Abstract.
We evaluate Hankel determinants of matrices in which the entries are
generating functions for paths
consisting of up-steps, down-steps and level steps with a fixed
starting point but variable end point. By specialisation,
these determinant evaluations have numerous corollaries.
In particular, one consequence is that the Hankel determinant
of Motzkin prefix numbers equals 1, regardless of the size of
the Hankel matrix.
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