Year: 2026
Type: preprint
Abstract: 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 integral transform associated with eigenvalue problem of $H_{n, m}^d(x, y)$. Using the integral transform, we obtain an integral representation of eigenfunctions for $H_{n, m}^d(x, y)$.
Source: arXiv (Cornell University)
Authors: Fujii, Taikei, Nobukawa, Takahiko
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 点平等なq超幾何方程式の大域解析
OpenAlex ID: W7213258112