Abstract: This paper analysis the local behavior of the bivariate quadratic function approximation to a bivariate function which has a given power series expansion about the origin. It is shown that the bivariate quadratic Hermite-Pade form always defines a bivariate quadratic function and that this function is analytic in a neighborhood of the origin.

Key words: Hermite-Padé ,  , approximation, bivariate ,  , function ,  , approximation, bivariate ,  , an-
alytic , function