1 citations · 1 across the 7 of their papers we have counts for
9 papers
An integral representation of eigenfunctions for the deformed Noumi--Sano operators
Taikei Fujii, Takahiko Nobukawa
The deformed Noumi-Sano operator of order is a simultaneous extension of the Macdonald operator and the Noumi-Sano operator. In this paper, we construct an i…
A linear -difference system with -symmetry
Takahiko Nobukawa
We present a linear -difference equation of rank , which admits the affine Weyl group symmetry of type . We further compare this equation with Moriyama-Yamada's qu…
Special values of -theoretic Schur - and -functions
Takahiko Nobukawa, Tatsushi Shimazaki
We provide the special values of the skew version of the -theoretic Schur - and -functions. Using these special values, we show an oddness property of the number of shifte…
Connection formula for the Jackson integral of Riemann-Papperitz type
Taikei Fujii, Takahiko Nobukawa
We give a connection formula for the Jackson integral of Riemann-Papperitz type. This includes a solution of the connection problem for the variant of -hypergeometric equation o…
Special values of Grothendieck polynomials in terms of hypergeometric functions
Taikei Fujii, Takahiko Nobukawa, Tatsushi Shimazaki
We give some special values of Grothendieck polynomials and an explicit formula for the number of set-valued tableaux. For Young diagrams consisting of a single row or a single col…
Jackson integral representation for a multiple -hypergeometric series and an extension of the -Riemann-Papperitz system
Takahiko Nobukawa
We give a Jackson integral representation for Kajihara's -hypergeometric series . We construct a -difference system that corresponds to this integral. This system is…
A recursive method for the oddness of the number of set-valued tableaux
Taikei Fujii, Takahiko Nobukawa, Tatsushi Shimazaki
Set-valued tableaux, introduced by Buch to express the tableaux-sum formula for stable Grothendieck polynomials, generalize semistandard tableaux. We provide a new recursive proof…
Hypergeometric solutions for variants of the -hypergeometric equation
Taikei Fujii, Takahiko Nobukawa
We introduce a configuration of a -difference equation and characterize the variants of the -hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by…
Connection Problem for an Extension of -Hypergeometric Systems
Takahiko Nobukawa
We give an example of solutions of the connection problem associated with a certain system of linear -difference equations recently introduced by Park. The result contains a con…