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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Hypergeometric Summation - An Algorithmic Approach to Summation and Special Function Identities (Paperback, 2nd ed. 2014)
Loot Price: R2,998
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Hypergeometric Summation - An Algorithmic Approach to Summation and Special Function Identities (Paperback, 2nd ed. 2014)
Series: Universitext
Expected to ship within 10 - 15 working days
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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 (TM). The
algorithms of Fasenmyer, Gosper, Zeilberger, Petkovsek 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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