1 citations · 1 across the 2 of their papers we have counts for
4 papers
Principal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups
Naoya Yamaguchi, Yuka Yamaguchi, Genki Shibukawa
In this paper, we study the principal specialization of monomial symmetric polynomials and investigate the special values of these polynomials at \[ ζ_{(n,k)} := ( 1, ζ_n, ζ_n^2…
Notes on twisted homology and cohomology groups for the Wirtinger integral
Yoshiaki Goto, Genki Shibukawa
The Wirtinger integral is one of the integral representations of the Gauss hypergeometric function. Its integrand is given by a product of complex powers of theta functions. We stu…
Monotonicity of solutions to second order linear difference equations with constant coefficients
Yoshiaki Goto, Genki Shibukawa
We describe some monotone properties of solutions to second order linear difference equations with real constant coefficients. As an application, we give a characterization of the…
The intertwining property for -Laguerre processes and integral operators for Jack polynomials
Yosuke Kawamato, Genki Shibukawa
The aim of this paper is to study intertwining relations for Laguerre process with inverse temperature and parameter . We introduce a Markov kernel that depends on…