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HYP--A Package for Handling Hypergeometric Series
Author

Christian Krattenthaler
Organization: Universitat Wien
Department: Institut fur Mathematik
Old MathSource #

0206-705
Revision date

1994-05-16
Description

The package HYP allows the handling of binomial and hypergeometric series. It provides tools for manipulating factorial expressions, transforming binomial sums into hypergeometric notation, summing hypergeometric series, transforming hypergeometric series, applying contiguous relations, doing formal limits of hypergeometric expressions, transforming hypergeometric Mathematica expressions into TeX-code, and applying Gosper's and Zeilberger's algorithms.
Subject

*Mathematics > Calculus and Analysis > Special Functions
Keywords

Pure mathematics, hypergeometric series, binomial series, infinite series, finite series, TeX, limits, contiguous relations
Related items

*HYP and HYPQ   [in Articles]
*HYP and HYPQ: Mathematica Packages for the Manipulation of Binomial Sums and Hypergeometric Series Respectively q-Binomial Sums and Basic Hypergeometric Series   [in Articles]
*HYPQ--A Package for Handling Basic Hypergeometric Series   [in MathSource: Packages and Programs]
Downloads Download Wolfram CDF Player

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README.txt (949 B) - Installation instructions for HYP and HYPQ
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contig.m (74 KB) - Contiguous relations
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hyp-hypq.ps (120.5 KB) - PostScript tutorial for HYP and HYPQ packages
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hyp.m (142.6 KB) - Mathematica package defines basic objects and predefines all other objects
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hypm.ps (762.3 KB) - PostScript documentation for HYP
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output (2.1 KB) - Mathematica package to modify output form
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summatio.m (19.3 KB) - Hypergeometric summation formulas as replacement rules
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summatio.mgl (11.2 KB) - Hypergeometric summation formulas as equations
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transfor.m (63.6 KB) - Hypergeometric transformation formulas as replacement rules
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transfor.mgl (61.5 KB) - Hypergeometric transformation formulas as equations
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transfor.mli (25.1 KB) - Lists of possible outcomes under hypergeometric transformation formulas