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Zeros of a rational function defined by its Laurent expansion

Part of the Lecture Notes in Mathematics book series (LNM,volume 1071)

Abstract

If a rational function is defined by a Laurent series in an annular region, then we can construct a qd-table from its Laurent coefficients. The limits of certain rows and columns in this table give you information about the pole/zero structure of the rational function. This property was known for the column-pole connection [11] but is not for its row-zero connection.

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© 1984 Springer-Verlag

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Bultheel, A. (1984). Zeros of a rational function defined by its Laurent expansion. In: Werner, H., Bünger, H.J. (eds) Padé Approximation and its Applications Bad Honnef 1983. Lecture Notes in Mathematics, vol 1071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099608

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  • DOI: https://doi.org/10.1007/BFb0099608

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