81 citations · 484 across the 73 of their papers we have counts for
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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…
A q-analogue of Catalan Hankel determinants
Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
In this paper we shall survey the various methods of evaluating Hankel determinants and as an illustration we evaluate some Hankel determinants of a q-analogue of Catalan numbers.…
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…
Bijections for Entringer families
Yoann Gelineau, Heesung Shin, Jiang Zeng
André proved that the number of alternating permutations on is equal to the Euler number . A refinement of André's result was given by Entringer, who prov…