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4 papers · 2 filters
Pfaffian decomposition and a Pfaffian analogue of q-Catalan Hankel determinants
Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
Motivated by the Hankel determinant evaluation of moment sequences, we study a kind of Pfaffian analogue evaluation. We prove an LU-decomposition analogue for skew-symmetric matric…
Inversion dans les tournois
Houmem Belkhechine, Moncef Bouaziz, Imed Boudabbous +1
We consider the transformation reversing all arcs of a subset of the vertex set of a tournament . The \emph{index} of , denoted by , is the smallest number of subse…
Orthogonal polynomials and operator orderings
Adel Hamdi, Jiang Zeng
An alternative and combinatorial proof is given for a connection between a system of Hahn polynomials and identities for symmetric elements in the Heisenberg algebra, which was fir…
Permutation Complexity of the Thue-Morse Word
Steven Widmer
Given a countable set X (usually taken to be the natural numbers or the integers), an infinite permutation πof X is a linear ordering of X. This paper investigates the combinatoria…