2020/02/13 by L. G. González Ricardo, Ricardo, L. G. González, G. López Lagomasino +3
Mathematics · #30E10 #41A28 #42C05 #Advanced Mathematical Identities #Applied mathematics #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Hermite polynomials #Logarithm #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials #Pure mathematics #math.CA #math.CV #msc:30E10 #msc:41A28 #msc:42C05
paper · pdf · doi:10.48550/arxiv.2002.06194
17 pages. arXiv admin note: text overlap with arXiv:1904.00126
arxiv created 2020/02/13 · openalex publication_date 2020/02/13 · arxiv updated 2020/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the logarihtnmic asymptotic of multiple orthogonal polynomials arising in a mixed type Hermite-Padé approximation problem associated with the rational perturbation of a Nikishin system of functions. The formulas obtained allow to give exact estimates of the rate of convergence of the corresponding Hermite-Padé approximants.