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On Algebraic Computation of Number of Poles of Meromorphic Functions in the Unit Disk

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Nonlinear Numerical Methods and Rational Approximation II

Part of the book series: Mathematics and Its Applications ((MAIA,volume 296))

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Abstract

We propose a software to calculate the number of poles of an meromorphic functions in the unit disk The base of the algorithm is the Montessus de Ballore’s theorem and a formal algebra algorithm to detect the number of zeros of rational polynomial in the unit disk.

On leave from Nizhniy Novgorod State University, Russia

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References

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© 1994 Springer Science+Business Media Dordrecht

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Gleyse, B., Kaliaguine, V. (1994). On Algebraic Computation of Number of Poles of Meromorphic Functions in the Unit Disk. In: Cuyt, A. (eds) Nonlinear Numerical Methods and Rational Approximation II. Mathematics and Its Applications, vol 296. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0970-3_20

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  • DOI: https://doi.org/10.1007/978-94-011-0970-3_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4420-2

  • Online ISBN: 978-94-011-0970-3

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