Partial Sums of Two Quartic q-Series
The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2009-04-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.050 |
| _version_ | 1818550524644950016 |
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| author | Wenchang Chu Chenying Wang |
| author_facet | Wenchang Chu Chenying Wang |
| author_sort | Wenchang Chu |
| collection | DOAJ |
| description | The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established. |
| first_indexed | 2024-12-12T08:47:37Z |
| format | Article |
| id | doaj.art-497ff76ae865444ea4cae47ac6eba306 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-12T08:47:37Z |
| publishDate | 2009-04-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-497ff76ae865444ea4cae47ac6eba3062022-12-22T00:30:24ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-04-015050Partial Sums of Two Quartic q-SeriesWenchang ChuChenying WangThe partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.http://dx.doi.org/10.3842/SIGMA.2009.050basic hypergeometric series (q-series)well-poised q-seriesquadratic q-seriescubic q-seriesquartic q-seriesthe modified Abel lemma on summation by parts |
| spellingShingle | Wenchang Chu Chenying Wang Partial Sums of Two Quartic q-Series Symmetry, Integrability and Geometry: Methods and Applications basic hypergeometric series (q-series) well-poised q-series quadratic q-series cubic q-series quartic q-series the modified Abel lemma on summation by parts |
| title | Partial Sums of Two Quartic q-Series |
| title_full | Partial Sums of Two Quartic q-Series |
| title_fullStr | Partial Sums of Two Quartic q-Series |
| title_full_unstemmed | Partial Sums of Two Quartic q-Series |
| title_short | Partial Sums of Two Quartic q-Series |
| title_sort | partial sums of two quartic q series |
| topic | basic hypergeometric series (q-series) well-poised q-series quadratic q-series cubic q-series quartic q-series the modified Abel lemma on summation by parts |
| url | http://dx.doi.org/10.3842/SIGMA.2009.050 |
| work_keys_str_mv | AT wenchangchu partialsumsoftwoquarticqseries AT chenyingwang partialsumsoftwoquarticqseries |