A class of finite q-series. III
| dc.contributor.author | Srivastava, H.M. | |
| dc.date.accessioned | 2009-08-24T21:38:30Z | |
| dc.date.available | 2009-08-24T21:38:30Z | |
| dc.date.copyright | 1985 | en |
| dc.date.issued | 2009-08-24T21:38:30Z | |
| dc.description.abstract | Simple proofs based only upon some rather elementary results are presented for several interesting generalizations (involving series with essentially arbitrary terms) a number of finite summation formulas for certain classes of hypergeometric functions of one and two variables. Applications of these general summation formulas to various multivariable hypergeometric functions, and their further generalizations (and unifications) and q-extensions, are also considered. The main results (2.3), (4.5), (6.1), (6.2) and (6.12) below, and their special cases including (for example) (2.1), (3.1), (3.5), (3.8), (4.1), (4.3), (5.1), (5.3) to (5.6), (6.14), (6.15) and (6.18), are believed to be new. | en |
| dc.description.sponsorship | NSERC Grant A7353 | en |
| dc.identifier.uri | http://hdl.handle.net/1828/1572 | |
| dc.language.iso | en | en |
| dc.relation.ispartofseries | DM-354-IR | en |
| dc.subject | technical reports (mathematics and statistics) | |
| dc.subject.department | Department of Mathematics | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | A class of finite q-series. III | en |
| dc.type | Technical Report | en |