TY - JOUR T1 - Algebraic Methods in Partial Differential Operators AU - Djilali Behloul JO - Journal of Partial Differential Equations VL - 2 SP - 114 EP - 120 PY - 2005 DA - 2005/05 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5348.html KW - Chow's lemma KW - regular partial differential operators KW - meromrphic functions KW - homogeneous polynomials KW - Euler's differential operator AB - In this paper we build a class of partial differential operators L having the following property : if u is a meromorphic function in \mathbb{C}^n and Lu is a rational function \frac{A}{q}, with q homogenous, then u is also a rational function.