30 citations
- Tohoku UniversityJP3 papers
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math.CO2010★ 4 cited
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…
math.CO2010★ 8 cited
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.…