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Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II

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Algebraic and Algorithmic Aspects of Differential and Integral Operators (AADIOS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8372))

Abstract

We derive the recurrence relations for relativistic Coulomb integrals directly from the integral representations with the help of computer algebra methods. In order to manage the computational complexity of this problem, we employ holonomic closure properties in a sophisticated way.

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Author information

Authors and Affiliations

  1. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Straße 69, A-4040, Linz, Austria

    Christoph Koutschan

  2. Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenberger Straße 69, A-4040, Linz, Austria

    Peter Paule

  3. School of Mathematical and Statistics Sciences, Arizona State University, Tempe, AZ 85287-1804, U.S.A.

    Sergei K. Suslov

Authors
  1. Christoph Koutschan
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  2. Peter Paule
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  3. Sergei K. Suslov
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Editor information

Editors and Affiliations

  1. XLIM, DMI, University of Limoges, 123, avenue Albert Thomas, 87060, Limoges cedex, France

    Moulay Barkatou  & Thomas Cluzeau  & 

  2. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Str. 69, 4040, Linz, Austria

    Georg Regensburger

  3. SMAS, University of Kent, CT2 7NF, Canterbury, UK

    Markus Rosenkranz

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Koutschan, C., Paule, P., Suslov, S.K. (2014). Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II. In: Barkatou, M., Cluzeau, T., Regensburger, G., Rosenkranz, M. (eds) Algebraic and Algorithmic Aspects of Differential and Integral Operators. AADIOS 2012. Lecture Notes in Computer Science, vol 8372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54479-8_6

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  • DOI: https://doi.org/10.1007/978-3-642-54479-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54478-1

  • Online ISBN: 978-3-642-54479-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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