9 citations · 31 across the 19 of their papers we have counts for
19 papers
Minor summation formula of hyperpfaffians and Selberg integrals
Masao Ishikawa, Jiang Zeng
In the previous paper (J. Combin. Theory Ser. A, 120, 2013, 1263--1284) H. Tagawa and the two authors proposed an algebraic method to compute certain Pfaffians whose form resemble…
Determinant structure for tau-function of holonomic deformation of linear differential equations
Masao Ishikawa, Toshiyuki Mano, Teruhisa Tsuda
In our previous works, a relationship between Hermite's two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this pape…
A one-parameter generalization of Pfaffians
Theresia Eisenkölbl, Masao Ishikawa, Jiang Zeng
In analogy to the definition of the lambda-determinant, we define a one-parameter deformation of the Dodgson condensation formula for Pfaffians. We prove that the resulting rationa…
(q,t)-hook formula for Birds and Banners
Masao Ishikawa
We study Okada's conjecture on -hook formula of general -complete posets. Proctor classified -complete posets into 15 irreducible ones. We try to give a case-by-case p…
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…