Article
| Title: | Jackson's $_2\phi _2$ transformations over the root systems $A_n$, $C_n$, $D_n$ (English) |
| Author: | Gao, Pei |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 2 |
| Year: | 2026 |
| Pages: | 607-633 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We derive twenty different multivariable generalizations of Jackson's $_2\phi _2$ transformation by applying elementary proofs. Then, by reversing the order of summation, we obtain eight multivariable extensions of transformations of terminating $_2\phi _1$ series. As limiting cases of our main results, we obtain three $A_n$ $_1\phi _1$ summation formulae. (English) |
| Keyword: | Jackson's $_2\phi _2$ transformation |
| Keyword: | reverse the order of summation |
| Keyword: | $_1\phi _1$ summation |
| MSC: | 33D67 |
| DOI: | 10.21136/CMJ.2026.0356-25 |
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| Date available: | 2026-05-22T11:23:21Z |
| Last updated: | 2026-05-25 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153652 |
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