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Some determinants of path generating functions, II

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 نشر من قبل Christian Krattenthaler
 تاريخ النشر 2018
  مجال البحث
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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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