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[Licence| Download | New Version Template] aepp_v3_0.tar.gz(7 Kbytes) | ||
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Manuscript Title: HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions:
F and _{D}F Horn-type hypergeometric functions of three variables_{S} | ||

Authors: Vladimir V. Bytev, Mikhail Yu. Kalmykov, Sven-Olaf Moch | ||

Program title: HYPERDIRE | ||

Catalogue identifier: AEPP_v3_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 185(2014)3041 | ||

Programming language: Mathematica. | ||

Computer: All computers running Mathematica. | ||

Operating system: All operating systems running Mathematica. | ||

Keywords: Hypergeometric functions, Differential reduction, Feynman diagrams. | ||

PACS: 02.30.Gp, 02.30.Lt, 11.15.Bt, 12.38.Bx. | ||

Classification: 4.4. | ||

Does the new version supersede the previous version?: No. It is an extension to the previous program, which performs reductions of hypergeometric functions , _{p}F_{p}F, _{1}F, _{2}F and _{3}F_{4} | ||

Nature of problem:Reduction of hypergeometric functions F and _{D}F to the set of basis functions._{S} | ||

Solution method:Differential reduction. | ||

Reasons for new version:New algorithms for the reduction of multivariable Lauricella functions, Horn functions, (hypergeometric functions F and _{D}F)_{S} | ||

Summary of revisions: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 includes two parts: the first one, FdFunction, for manipulations with Appell hypergeometric functions F of _{D}r variables; and the second one, FsFunction, for manipulations with Lauricella-Saran hypergeometric functions F of three variables. Both functions are related with one-loop Feynman diagrams._{S} | ||

Running time:Depends on the complexity of problem. |

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