Polynomials known as Multiple Orthogonal Polynomials in a single variable are polynomials that satisfy orthogonality conditions concerning multiple measures and play a significant role in several applications such as Hermite-Pad\'e approximation, random matrix theory or integrable systems. However, this theory has only been studied in the univariate case. We give a generalization of Multiple Orthogonal Polynomials for two variables. Moreover, an extended version of some of the main properties are given. Additionally, some examples are given along the paper.

翻译：单变量多重正交多项式是一类满足关于多个测度的正交性条件的多项式，在埃尔米特-帕德逼近、随机矩阵理论或可积系统等多个应用领域中具有重要作用。然而，该理论目前仅研究了单变量情形。本文给出了二元多重正交多项式的推广形式，并给出了部分主要性质的扩展版本。此外，文中还提供了若干示例。