An Algorithmic Approach to Summation and Special Function Identities
Series: Universitext
Koepf, Wolfram
2nd ed. 2014, XVII, 279 p. 5 illus., 3 illus. in color.
Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
(net)
price for USA
ISBN 978-1-4471-6464-7
digitally watermarked, no DRM
Included Format: PDF and EPUB
download immediately after purchase
Softcover (also known as softback) version.
You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.
Standard shipping is free of charge for individual customers.
(net)
price for USA
ISBN 978-1-4471-6463-0
free shipping for individuals worldwide
usually dispatched within 3 to 5 business days
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, Petkovšek 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.
Content Level » Graduate
Keywords » Algorithmic Summation - Antidifference - Basic Hypergeometric Series - Differential Equation - Fasenmyer Algorithm - Generating Function - Gosper Algorithm - Hypergeometric Series - Non-commutative Factorization - Operator Equation - Petkovsek Algorithm - Recurrence Equation - Rodrigues Formulas - Van Hoeij Algorithm - Zeilberger Algorithm
Related subjects » Analysis - Computational Science & Engineering - Dynamical Systems & Differential Equations
Get alerted on new Springer publications in the subject area of Algorithms.