# A formula for the nonsymmetric Opdam's hypergeometric function of type $A_2$

## TL;DR

This paper derives an explicit formula for the nonsymmetric Heckman-Opdam hypergeometric function of type A2 by differentiating the symmetric version, advancing understanding of special functions related to root systems.

## Contribution

It provides the first explicit formula for the nonsymmetric hypergeometric function of type A2, obtained through differentiation of the symmetric function.

## Key findings

- Explicit formula for nonsymmetric hypergeometric function of type A2
- Method based on differentiation of symmetric hypergeometric function
- Enhances analytical tools for special functions in root system theory

## Abstract

The aim of this paper is to give an explicit formula for the nonsymmetric Heckman-Opdam's hypergeometric function of type $A_2$. This is obtained by differentiating the corresponding symmetric hypergeometric function.