# The $b$-function with respect to weights of hypergeometric ideals of codimension one

### Helena Cobo

Universidad de Sevilla, Spain

## Abstract

We study the $b$-function with respect to weights of hypergeometric ideals $H_A(\beta)$, where $A$ is an $n\times(n+1)$ matrix of maximal rank. We describe the $b$-function for any weight vector $(-\omega,\omega)$ with $\omega\in{\mathbb R}^{n+1}\setminus\{0\}$ and any parameter vector $\beta\in{\mathbb C}^n$.

## Cite this article

Helena Cobo, The $b$-function with respect to weights of hypergeometric ideals of codimension one. Port. Math. 79 (2022), no. 1/2, pp. 1–28

DOI 10.4171/PM/2076