Hypergeometric Summation

Name: Hypergeometric Summation
Brand: Springer London Ltd
SKU: 9781447164630
Price: 433.72 RON
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Autor: Wolfram Koepf

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Editura: Springer London Ltd

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Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...

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Autor

Wolfram Koepf

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2014

Pagini

279

EAN

9781447164630

ISBN

1447164636

Enbook ID

02581253

Editura

Springer London Ltd

Greutate

470

Dimensiuni

156 x 235 x 16

Descriere completă

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple .§The algorithms of Fasenmyer, Gosper, Zeilberger, Petkov ek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as q -analogues of the above algorithms are covered. Similar algorithms concerning differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book.§The combination of these results gives orthogonal polynomials and (hypergeometric and q -hypergeometric) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given.§The materials covered are suitable for an introductory course on algorithmic summation and will appeal to students and researchers alike.§

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Hypergeometric Summation

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