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Effectiveness of Cannon and composite set of polynomials of two complex variables in Faber regions

  • Autores: Jerome Ajayi Adepoju, Adesanmi Alao Mogbademu
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 3, 2020, págs. 651-662
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2020-03-0040
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  • Resumen
    • Conditions are obtained for effectiveness of Cannon and Composite sets of polynomials of two complex variables in Faber regions. It generalizes to these regions the results of Nassif on composite sets in balls of centre origin whose constituents are also cannon sets.

  • Referencias bibliográficas
    • J. A. Adepoju, “On effectiveness of basic sets of two complex variables in Polycylinders”, Complex analysis and applications, vol. 85, pp....
    • A. I. Breadze, “The representation of analytic functions of several complex variables in Faber regions”, Sakharthveles SSR Mecmeretalhe Akademas...
    • M. Nassif, “Composite sets of polynomials of several complex variables”, Publicationes mathematicae Debrecen, vol. 18, pp. 43-52, 1971.
    • W. F. Newns, “On the representation of analytic functions by infinite series”, Philosophical Transactions of the Royal Society of London....
    • J. L. Ullman, “Studies in Faber polynomials. I”, Transactions of the American Mathematical Society, vol. 94, no. 3, pp. 515–515, Mar. 1960,...
    • J. M. Whittaker and C. Gattegno, Sur les Se?ries de base de polyno?mes quelconques. Paris: Gauthier-Villars, 1949.

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