3 papers
math.QA2026
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…
math.CA2024
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…
math.CO2024
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…