A Determinantal Proof of the Product Formula for the Multivariate Transfinite Diameter

Volume 53 / 2005

Jean-Paul Calvi, Phung Van Manh Bulletin Polish Acad. Sci. Math. 53 (2005), 291-298 MSC: Primary 32U20. DOI: 10.4064/ba53-3-7


We give an elementary proof of the product formula for the multivariate transfinite diameter using multivariate Leja sequences and an identity on vandermondians.


  • Jean-Paul CalviLaboratoire Émile Picard (UMR 5580)
    Université Paul Sabatier 31062
    Toulouse Cedex 9, France
  • Phung Van ManhDepartment of Mathematics
    Hanoi University of Education
    Tuliem, Hanoi, Vietnam

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