Matrix q-hypergeometric series
β Scribed by Kung-Wei Yang
- Book ID
- 103059828
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 455 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
After extending the basic hypergeometric series to series with matrix coefficients, we apply them to the solution of q-difference-q-differential equations, and to the formulation of a versatile tool for producing generating functions and series-product identities (incorporating transfer matrix method).
π SIMILAR VOLUMES
## Abstract By means of the Sears transformations, we establish eight general transformation theorems on bivariate basic hypergeometric series. Several transformation, reduction and summation formulae on the double __q__βClausen hypergeometric series are derived as consequences. Copyright Β© 2007 Jo
We present algorithm qHyper for finding all solutions y(x) of a linear homogeneous q-difference equation, such that y(qx)= r(x)y(x) where r(x) is a rational function ofx. Applications include construction of basic hypergeometric series solutions, and definite q-hypergeometric summation in closed for