𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Matrix q-hypergeometric series

✍ 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.

✦ 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).


πŸ“œ SIMILAR VOLUMES


Transformation and reduction formulae fo
✍ Wenchang Chu; Cangzhi Jia πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 172 KB

## 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__‐Clausen hypergeometric series are derived as consequences. Copyright Β© 2007 Jo

q-Hypergeometric solutions of q-differen
✍ Sergei A. Abramov; Peter Paule; Marko PetkovΕ‘ek πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 801 KB

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