On the residues vectors of a rational class of complex functions. Application to autoregressive processes

12 Jul 2019  ·  Scheidereiter Guillermo Daniel, Faure Omar Roberto ·

Complex functions have multiple uses in various fields of study, so analyze their characteristics it is of extensive interest to other sciences. This work begins with a particular class of rational functions of a complex variable; over this is deduced two elementals properties concerning the residues and is proposed one results which establishes one lower bound for the p-norm of the residues vector... Applications to the autoregressive processes are presented and the exemplifications are indicated in historical data of electric generation and econometric series. read more

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