𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The -WZ method for infinite series

✍ Scribed by William Y.C. Chen; Ernest X.W. Xia


Book ID
118480724
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
621 KB
Volume
44
Category
Article
ISSN
0747-7171

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


ΞΆ-Function method for infinite series
✍ Alfred Actor πŸ“‚ Article πŸ“… 1986 πŸ› Springer 🌐 English βš– 239 KB

The ~-function method is used to rearrange Dirichlet series of the form E,.( + ) r a m -S g ( x / m ) into power series in x. This displays explicitly the analyticity in s of the series. Generalized ~-functions of physical interest can be analysed by this method. Recently, a new method [ 1 ] was in

The WZ matrix factorisation method
✍ P. Yalamov; D.J. Evans πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 458 KB
Finding Identities with the WZ Method
✍ Ira M. Gessel πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 659 KB

Extending the work of Wilf and Zeilberger on WZ-pairs, we describe how new terminating hypergeometric series identities can be derived by duality from known identities. A large number of such identities are obtained by a Maple program that applies this method systematically.