New necessary and sufficient conditions for the uniform approximability of functions by polyanalytic polynomials and polyanalylic rational functions on compact subsets of the plane are established. Connections between these approximation problems and the Dirichlet problem for bianalytic functions are also analysed.

Original languageEnglish
Pages (from-to)1469-1492
Number of pages24
JournalSbornik Mathematics
Volume193
Issue number9-10
DOIs
StatePublished - 2002
Externally publishedYes

    Scopus subject areas

  • Algebra and Number Theory

ID: 86669949