Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II

Christoph Koutschan, Peter Paule, Sergei Suslov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

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.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages135-145
Number of pages11
Volume8372
ISBN (Print)9783642544781
StatePublished - 2014
Event5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, ACA 2012 - Sofia, Bulgaria
Duration: Jun 25 2012Jun 28 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8372
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, ACA 2012
CountryBulgaria
CitySofia
Period6/25/126/28/12

Fingerprint

Closure Properties
Computer Algebra
Recurrence relation
Integral Representation
Algebra
Computational complexity
Computational Complexity

Keywords

  • Annihilating ideal
  • Coulomb integral
  • Creative telescoping
  • Holonomic closure property
  • Holonomic systems approach
  • Operator algebra

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Koutschan, C., Paule, P., & Suslov, S. (2014). Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8372, pp. 135-145). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8372). Springer Verlag.

Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II. / Koutschan, Christoph; Paule, Peter; Suslov, Sergei.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 8372 Springer Verlag, 2014. p. 135-145 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8372).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Koutschan, C, Paule, P & Suslov, S 2014, Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 8372, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8372, Springer Verlag, pp. 135-145, 5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, ACA 2012, Sofia, Bulgaria, 6/25/12.
Koutschan C, Paule P, Suslov S. Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 8372. Springer Verlag. 2014. p. 135-145. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Koutschan, Christoph ; Paule, Peter ; Suslov, Sergei. / Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 8372 Springer Verlag, 2014. pp. 135-145 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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