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    Row convergence of algebraic approximations

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    mcinnes_marshall_report_no66_1992.pdf (1.304Mb)
    Author
    McInnes, Allan William
    Marshall, T. H.
    Date
    1992
    Permanent Link
    http://hdl.handle.net/10092/11602

    An 𝗻 algebraic function of degree 𝑝 satisfies an algebraic equation of degree 𝑝, whose polynomial coefficients have maximum degrees given by the vector n. If a function which is analytic at the origin is approximated by an 𝗻 algebraic function of degree 𝑝, the table of approximations is a table of dimension 𝑝 + 1. Under suitable conditions, the sequence of algebraic approximations along an arbitrary "row" (a line parallel to an arbitrary axis in the table), converges to a given meromorphic function, uniformly on a suitable compact set.

    Subjects
    algebraic function approximation
     
    Hermite-Pade approximation,
     
    convergence.
     
    Field of Research::01 - Mathematical Sciences
    Collections
    • Engineering: Reports [695]
    Rights
    https://canterbury.libguides.com/rights/theses

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