The multidimensional $g$-fraction with nonequivalent variables corresponding to the formal multiple power series

Keywords: multidimensional $g$-fraction with nonequivalent variables, multiple power series
Published online: 2009-12-30

Abstract


In this paper we consider the multidimensional $g$-fraction with nonequivalent variables which is the generalization of the continued $g$-fraction. The correspondence between the formal multiple power series and the above mentioned fraction is studied.