3 papers
math.CV2020
Universal Taylor Series in several variables depending on parameters
Giorgos Gavrilopoulos, Konstantinos Maronikolakis, Vassili Nestoridis
We establish generic existence of Universal Taylor Series on products of planar simply connected domains where the universal approximation holds on products $K…
math.CV2020
Universal power series of Seleznev with parameters in several variables
Konstantinos Maronikolakis, Giorgos Stamatiou
We generalize the universal power series of Seleznev to several variables and we allow the coefficients to depend on parameters. Then, the approximable functions may depend on the…
math.CV2019
An extension of the universal power series of Seleznev
Konstantinos Maronikolakis, Vassili Nestoridis
We show generic existence of power series a with complex coefficients a_n, such that the sequence of partial sums of a new power series where its coefficients b_n are functions of…