Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II

Christoph Koutschan; Peter Paule; Sergei K. Suslov

Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II

Christoph Koutschan, Peter Paule, Sergei K. Suslov

Research Institute for Symbolic Computation

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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. Notiz zur Publikation: To appear (preprint on arXiv:1306.1362)

Original language	English
Title of host publication	Post-proceedings of the "Algebraic and Algorithmic Aspects of Differential and Integral Operators" Session
Editors	Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz
Publisher	Springer
Number of pages	11
Publication status	Published - 2013

Publication series

Name	Lecture Notes in Computer Science (LNCS)

Fields of science

101001 Algebra
101002 Analysis
101 Mathematics
102 Computer Sciences
102011 Formal languages
101009 Geometry
101013 Mathematical logic
101020 Technical mathematics
101025 Number theory
101012 Combinatorics
101005 Computer algebra
101006 Differential geometry
101003 Applied geometry
102025 Distributed systems

JKU Focus areas

Computation in Informatics and Mathematics

Cite this

Koutschan, C., Paule, P., & Suslov, S. K. (2013). Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. In Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz (Ed.), Post-proceedings of the "Algebraic and Algorithmic Aspects of Differential and Integral Operators" Session (Lecture Notes in Computer Science (LNCS)). Springer.

Koutschan, Christoph ; Paule, Peter ; Suslov, Sergei K. / Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. Post-proceedings of the "Algebraic and Algorithmic Aspects of Differential and Integral Operators" Session. editor / Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz. Springer, 2013. (Lecture Notes in Computer Science (LNCS)).

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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. Notiz zur Publikation: To appear (preprint on arXiv:1306.1362)",

author = "Christoph Koutschan and Peter Paule and Suslov, \{Sergei K.\}",

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series = "Lecture Notes in Computer Science (LNCS)",

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editor = "\{Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz\}",

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Koutschan, C, Paule, P & Suslov, SK 2013, Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. in Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz (ed.), Post-proceedings of the "Algebraic and Algorithmic Aspects of Differential and Integral Operators" Session. Lecture Notes in Computer Science (LNCS), Springer.

Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. / Koutschan, Christoph; Paule, Peter; Suslov, Sergei K.
Post-proceedings of the "Algebraic and Algorithmic Aspects of Differential and Integral Operators" Session. ed. / Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz. Springer, 2013. (Lecture Notes in Computer Science (LNCS)).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II

AU - Koutschan, Christoph

AU - Paule, Peter

AU - Suslov, Sergei K.

PY - 2013

Y1 - 2013

N2 - 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. Notiz zur Publikation: To appear (preprint on arXiv:1306.1362)

AB - 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. Notiz zur Publikation: To appear (preprint on arXiv:1306.1362)

M3 - Chapter

T3 - Lecture Notes in Computer Science (LNCS)

BT - Post-proceedings of the "Algebraic and Algorithmic Aspects of Differential and Integral Operators" Session

A2 - Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz, null

PB - Springer

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Koutschan C, Paule P, Suslov SK. Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. In Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz, editor, Post-proceedings of the "Algebraic and Algorithmic Aspects of Differential and Integral Operators" Session. Springer. 2013. (Lecture Notes in Computer Science (LNCS)).