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Computing Burchnall–Chaundy Polynomials with Determinants

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Engineering Mathematics II

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 179))

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Abstract

In this expository paper we discuss a way of computing the Burchnall–Chaundy polynomial of two commuting differential operators using a determinant. We describe how the algorithm can be generalized to general Ore extensions, and which properties of the algorithm that are preserved.

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References

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Authors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Box 883, 721 23, Västerås, Sweden

    Johan Richter & Sergei Silvestrov

Authors
  1. Johan Richter
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  2. Sergei Silvestrov
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Corresponding author

Correspondence to Johan Richter .

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Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University,, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics,, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Richter, J., Silvestrov, S. (2016). Computing Burchnall–Chaundy Polynomials with Determinants. In: Silvestrov, S., Rančić, M. (eds) Engineering Mathematics II. Springer Proceedings in Mathematics & Statistics, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-319-42105-6_4

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