Higher order recurrences and row sequences of Hermite-Padé approximation

2018/01/08 by G. López Lagomasino, Lagomasino, G. López, Y. Zaldivar Gerpe +1
Mathematics · #41A21 #Advanced Mathematical Identities #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Primary: 30E10 #Secondary 65Q30

paper · pdf · doi:10.48550/arxiv.1801.02650

openalex publication_date 2018/01/08 · openalex created_date 2018/01/26 · openalex updated_date 2026/07/28

Abstract

We obtain extensions of the Poincaré and Perron theorems for higher order recurrence relations and apply them to obtain an inverse type theorem for row sequences of (type II) Hermite-Padé approximation of a vector of formal power series.

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