Abel universal functions: boundary behaviour and Taylor polynomials

Authors: Charpentier, Stephane, Manolaki, Myrto, Maronikolakis, Konstantinos

Contributors: Charpentier, Stéphane

Source: Revista Matemática Iberoamericana. 41:867-890

Subject Terms: universal radial approximation, Mathematics - Complex Variables, 30K15, 30B30, 30E10, 2020 Mathematics Subject Classification. 30K15, 30B30, [MATH] Mathematics [math], Approximation in the complex plane, 2020 Mathematics Subject Classification. 30K15 30B30 30E10 universal radial approximation dilation boundary behaviour universal Taylor series, Universal functions of one complex variable, 01 natural sciences, boundary behaviour, universal Taylor series, Boundary behavior of power series in one complex variable, over-convergence, FOS: Mathematics, dilation, Complex Variables (math.CV), 0101 mathematics, 30E10 universal radial approximation

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2310.05611
https://zbmath.org/8037297
https://doi.org/10.4171/rmi/1514
https://hal.science/hal-04939674v2
https://hal.science/hal-04939674v2/document
https://doi.org/10.4171/rmi/1514
https://hal.science/hal-04939674v1
https://hal.science/hal-04939674v1/document
https://doi.org/10.4171/rmi/1514

Universal radial limits of meromorphic functions in the unit disk

Authors: Meyrath, Thierry

Source: Comptes Rendus. Mathématique, Vol 360, Iss G8, Pp 893-898 (2022)

Subject Terms: QA1-939, universality, Cluster sets, prime ends, boundary behavior, 0101 mathematics, Universal functions of one complex variable, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Mathematics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, universal meromorphic functions

File Description: application/xml

Access URL: https://doaj.org/article/1488281e6d1c4b1d86ae81ab95b932c5