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

R.I. Dmytryshyn

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

Authors

R.I. Dmytryshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-2845-0137

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.