8 citations · 13 across the 6 of their papers we have counts for
6 papers
Coin Turning Games on Partially Ordered Sets
Masao Ishikawa, Toyokazu Ohmoto, Hiroyuki Tagawa +1
A finite impartial game is a two-player game in which the players take turns making moves and the game ends after finitely many moves. In this paper, we study a class of finite imp…
A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials
Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa +1
We prove a general quadratic formula for basic hypergeometric series, from which simple proofs of several recent determinant and Pfaffian formulas are obtained. A special case of t…
A generalization of the Mehta-Wang determinant and Askey-Wilson polynomials
Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
Motivated by the Gaussian symplectic ensemble, Mehta and Wang evaluated the by determinant in 2000. When , Ciucu and Krattenthaler computed the…
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.…
Generalizations of Cauchy's Determinant and Schur's Pfaffian
Masao Ishikawa, Soichi Okada, Hiroyuki Tagawa +1
We present several generalizations of Cauchy's determinant and Schur's Pfaffian by considering matrices whose entries involve some generalized Vandermonde determinants. Special cas…