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Multidimensional Logarithmic Residues and their Applications

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Complex Methods for Partial Differential Equations

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 6))

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Abstract

Multidimensional logarithmic residues are used to eliminate unknowns from algebraic systems with neither adding additional nor deleting existing roots.

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References

  1. Aizenberg, L.A., Yuzhakov, A.P.: Integral representation and residues in multidimensional complex analysis, AMS, Providence, R.I., 1983.

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  2. Aizenberg, L.A., Tsikh, A.K., Yuzhakov, A.P.: Multidimensional residues and applications, II: Function theory in classical domains. Complex potential theory. Encycl. Math. Sci. 8, Springer Verlag, Berlin etc., 1994, 1–58.

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  3. Bykov, V.I., Kytmanov, A.M., Lazman, M.Z.: Elimination method in computer algebra of polynomials, Kluwer, Dordrecht, 1997.

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© 1999 Kluwer Academic Publishers

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Aizenberg, L.A. (1999). Multidimensional Logarithmic Residues and their Applications. In: Begehr, H.G.W., Celebi, A.O., Tutschke, W. (eds) Complex Methods for Partial Differential Equations. International Society for Analysis, Applications and Computation, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3291-6_9

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  • DOI: https://doi.org/10.1007/978-1-4613-3291-6_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3293-0

  • Online ISBN: 978-1-4613-3291-6

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