The -WZ method for infinite series
β 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.
π SIMILAR VOLUMES
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
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.