HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables
HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions. Progra...
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| Published in: | Computer physics communications Vol. 189; pp. 128 - 154 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.04.2015
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| ISSN: | 0010-4655, 1879-2944 |
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| Abstract | HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions.
Program title: HYPERDIRE
Catalogue identifier: AEPP_v2_0
Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEPP_v2_0.html
Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland
Licensing provisions: GNU General Public License
No. of lines in distributed program, including test data, etc.: 896
No. of bytes in distributed program, including test data, etc.: 27172
Distribution format: tar.gz
Programming language: Mathematica.
Computer: All computers running Mathematica.
Operating system: Operation systems running Mathematica.
Classification: 4.4.
Does the new version supersede the previous version?: No, it significantly extends the previous version.
Nature of problem: Reduction of Horn-type hypergeometric functions of two variables to a set of basis functions
Solution method: Differential reduction
Reasons for new version: The extension package allows the user to handle all Horn-type hypergeometric functions of two variables.
Summary of revisions: The previous version goes unchanged.
Running time: Depends on the complexity of the problem |
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| AbstractList | HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions.
Program title: HYPERDIRE
Catalogue identifier: AEPP_v2_0
Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEPP_v2_0.html
Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland
Licensing provisions: GNU General Public License
No. of lines in distributed program, including test data, etc.: 896
No. of bytes in distributed program, including test data, etc.: 27172
Distribution format: tar.gz
Programming language: Mathematica.
Computer: All computers running Mathematica.
Operating system: Operation systems running Mathematica.
Classification: 4.4.
Does the new version supersede the previous version?: No, it significantly extends the previous version.
Nature of problem: Reduction of Horn-type hypergeometric functions of two variables to a set of basis functions
Solution method: Differential reduction
Reasons for new version: The extension package allows the user to handle all Horn-type hypergeometric functions of two variables.
Summary of revisions: The previous version goes unchanged.
Running time: Depends on the complexity of the problem HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions. Program summary Program title: HYPERDIRE Catalogue identifier: AEPP_v2_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEPP_v2_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: GNU General Public License No. of lines in distributed program, including test data, etc.: 896 No. of bytes in distributed program, including test data, etc.: 27172 Distribution format: tar.gz Programming language: Mathematica. Computer: All computers running Mathematica. Operating system: Operation systems running Mathematica. Classification: 4.4. Does the new version supersede the previous version?: No, it significantly extends the previous version. Nature of problem: Reduction of Horn-type hypergeometric functions of two variables to a set of basis functions Solution method: Differential reduction Reasons for new version: The extension package allows the user to handle all Horn-type hypergeometric functions of two variables. Summary of revisions: The previous version goes unchanged. Running time: Depends on the complexity of the problem |
| Author | Bytev, Vladimir V. Kniehl, Bernd A. |
| Author_xml | – sequence: 1 givenname: Vladimir V. surname: Bytev fullname: Bytev, Vladimir V. email: bvv@jinr.ru organization: II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany – sequence: 2 givenname: Bernd A. surname: Kniehl fullname: Kniehl, Bernd A. email: kniehl@desy.de organization: II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany |
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| SubjectTerms | Differential reduction Hypergeometric functions Licenses Mathematical analysis Mathematical models Operating systems Packages Reduction Running Summaries |
| Title | HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables |
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