Summation of special functions and combinatorics (talk, slides)

Hypergeometric summation. An algorithmic

Hypergeometric summation. An algorithmic approach to summation and special function identities

✍ Wolfram Koepf 📂 Library 📅 1998 🏛 Vieweg Verlag 🌐 English ⚖ 3 MB

In this book, modern algorithmic techniques for summation--most of which have been introduced within the last decade--are developed and carefully implemented via computer algebra system software (which can be downloaded from the Web; URL is given in the text). The algorithms of Gosper, Zeilberger

Hypergeometric summation. An algorithmic

Hypergeometric summation. An algorithmic approach to summation and special function identities

✍ Wolfram Koepf 📂 Library 📅 1998 🏛 Vieweg Verlag 🌐 English ⚖ 2 MB

In this book, modern algorithmic techniques for summation--most of which have been introduced within the last decade--are developed and carefully implemented via computer algebra system software (which can be downloaded from the Web; URL is given in the text). The algorithms of Gosper, Zeilberger

Hypergeometric Summation. An algorithmic

Hypergeometric Summation. An algorithmic approach to summation and special function identities

✍ Wolfram Koepf 📂 Library 📅 1998 🏛 Vieweg Verlag 🌐 English ⚖ 2 MB

In this book, modern algorithmic techniques for summation--most of which have been introduced within the last decade--are developed and carefully implemented via computer algebra system software (which can be downloaded from the Web; URL is given in the text). The algorithms of Gosper, Zeilberger

On algorithms for the summation of certa

On algorithms for the summation of certain special functions

✍ P. Deufihard 📂 Article 📅 1976 🏛 Springer Vienna 🌐 English ⚖ 495 KB

Frobenius Partitions and the Combinatori

Frobenius Partitions and the Combinatorics of Ramanujan's 1ψ1 Summation

✍ Sylvie Corteel; Jeremy Lovejoy 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 81 KB

We examine the combinatorial significance of Ramanujan's famous summation. In particular, we prove bijectively a partition theoretic identity which implies the summation formula.

Multisets and the Combinatorics of Symme

Multisets and the Combinatorics of Symmetrical Functions

✍ M. Mendez 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 782 KB