Nested multivariate Padé approximants
One of the simplest kind of two variable Padé approximant (PA) was introduced by \textit{C. Chaffy-Camus} [C. R. Acad. Sci., Paris, Sér. I 306, No. 8, 387-392 (1988; Zbl 0639.41011)]. It consists of computing at first a PA with respect to one variable, and then the PA of the resulting function with respect to the second variable. The most simpler (for programming) new definition is proposed in the present paper. The second step of Chaffy-Camus' method is modified: the author proposes to replace each coefficient of the result of the first step, which is a function of the second variable, by its PA.
scientific article; zbMATH DE number 1084095
scientific article