2015/03/10 by Konstantinos G. Makridis, Makridis, K.
Computer Science · Mathematics · #30E10 #30K05 #41A20 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.1503.02856
openalex publication_date 2015/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove simultaneous Universal Approximation of a certain type of Pade Approximants and of Taylor series with the same indexes. This is a generic phenomenon in the space of holomorphic functions in any simply connected domain, as well as in several other spaces. Our results are valid for one center of expansion and for several centers, as well.