## Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function IdentitiesModern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system MapleTM. The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovšek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as The combination of these results gives orthogonal polynomials and (hypergeometric and The materials covered are suitable for an introductory course on algorithmic summation and will appeal to students and researchers alike. |

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### Contents

1 | |

11 | |

3 Hypergeometric Database | 34 |

4 Holonomic Recurrence Equations | 49 |

5 Gospers Algorithm | 79 |

6 The WilfZeilberger Method | 102 |

7 Zeilbergers Algorithm | 117 |

8 Extensions of the Algorithms | 153 |

### Other editions - View all

Hypergeometric Summation: An Algorithmic Approach to Summation and Special ... Wolfram Koepf No preview available - 2014 |