Takahiko Nobukawa

activity

20212026

most citedHypergeometric solutions for variants of the

q

-hypergeometric equation

1 citations · 1 across the 6 of their papers we have counts for

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math.QA2026

An integral representation of eigenfunctions for the deformed Noumi--Sano operators

Taikei Fujii, Takahiko Nobukawa

The deformed Noumi-Sano operator $H_{n, m}^{d} (x, y)$ of order $d$ is a simultaneous extension of the Macdonald operator and the Noumi-Sano operator. In this paper, we construct an i…

math.QA2025

A $3 \times 3$ linear $q$ -difference system with $E_{8}^{(1)}$ -symmetry

Takahiko Nobukawa

We present a linear $q$ -difference equation of rank $3$ , which admits the affine Weyl group symmetry of type $E_{8}^{(1)}$ . We further compare this equation with Moriyama-Yamada's qu…

An integral representation of eigenfunctions for the deformed Noumi--Sano operators

A 3×3 linear q-difference system with E8(1)​-symmetry

A $3 \times 3$ linear $q$ -difference system with $E_{8}^{(1)}$ -symmetry