Note on <i>q</i>-Series Identities via the Telescoping Method
Several <i>q</i>-series identities were obtained using the telescoping method. These identities were then used to derive double series expressions for well-known zeta-value constants.
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/15/2345 |
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| _version_ | 1849405368646500352 |
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| author | Xi Chen Chan-Liang Chung |
| author_facet | Xi Chen Chan-Liang Chung |
| author_sort | Xi Chen |
| collection | DOAJ |
| description | Several <i>q</i>-series identities were obtained using the telescoping method. These identities were then used to derive double series expressions for well-known zeta-value constants. |
| format | Article |
| id | doaj-art-cbfb9dd4eeb04b2ba236aaa90fb0316d |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-cbfb9dd4eeb04b2ba236aaa90fb0316d2025-08-20T03:36:41ZengMDPI AGMathematics2227-73902025-07-011315234510.3390/math13152345Note on <i>q</i>-Series Identities via the Telescoping MethodXi Chen0Chan-Liang Chung1School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, ChinaSchool of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, ChinaSeveral <i>q</i>-series identities were obtained using the telescoping method. These identities were then used to derive double series expressions for well-known zeta-value constants.https://www.mdpi.com/2227-7390/13/15/2345<i>q</i>-seriesdouble seriestelescoping sum |
| spellingShingle | Xi Chen Chan-Liang Chung Note on <i>q</i>-Series Identities via the Telescoping Method Mathematics <i>q</i>-series double series telescoping sum |
| title | Note on <i>q</i>-Series Identities via the Telescoping Method |
| title_full | Note on <i>q</i>-Series Identities via the Telescoping Method |
| title_fullStr | Note on <i>q</i>-Series Identities via the Telescoping Method |
| title_full_unstemmed | Note on <i>q</i>-Series Identities via the Telescoping Method |
| title_short | Note on <i>q</i>-Series Identities via the Telescoping Method |
| title_sort | note on i q i series identities via the telescoping method |
| topic | <i>q</i>-series double series telescoping sum |
| url | https://www.mdpi.com/2227-7390/13/15/2345 |
| work_keys_str_mv | AT xichen noteoniqiseriesidentitiesviathetelescopingmethod AT chanliangchung noteoniqiseriesidentitiesviathetelescopingmethod |