Some interesting series arising from the power series expansion of (sin-1x)q
Starting from the power series expansions of (sin-1x)q, for 1≤p≤4, formulae are obtained for the sum of several infinite series. Some of these evaluations involve ζ(3).
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2329 |
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| _version_ | 1832550195061063680 |
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| author | Habib Muzaffar |
| author_facet | Habib Muzaffar |
| author_sort | Habib Muzaffar |
| collection | DOAJ |
| description | Starting from the power series expansions of (sin-1x)q,
for 1≤p≤4, formulae are obtained for the sum of several
infinite series. Some of these evaluations involve ζ(3). |
| format | Article |
| id | doaj-art-1d65f515fb0c40a086bc2058b7c70db0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1d65f515fb0c40a086bc2058b7c70db02025-02-03T06:07:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005142329233610.1155/IJMMS.2005.2329Some interesting series arising from the power series expansion of (sin-1x)qHabib Muzaffar0Department of Mathematics, The University of Toledo, 2801 W. Bancroft Street, MS-942, Toledo 43606-3390, OH, USAStarting from the power series expansions of (sin-1x)q, for 1≤p≤4, formulae are obtained for the sum of several infinite series. Some of these evaluations involve ζ(3).http://dx.doi.org/10.1155/IJMMS.2005.2329 |
| spellingShingle | Habib Muzaffar Some interesting series arising from the power series expansion of (sin-1x)q International Journal of Mathematics and Mathematical Sciences |
| title | Some interesting series arising from the power series
expansion of (sin-1x)q |
| title_full | Some interesting series arising from the power series
expansion of (sin-1x)q |
| title_fullStr | Some interesting series arising from the power series
expansion of (sin-1x)q |
| title_full_unstemmed | Some interesting series arising from the power series
expansion of (sin-1x)q |
| title_short | Some interesting series arising from the power series
expansion of (sin-1x)q |
| title_sort | some interesting series arising from the power series expansion of sin 1x q |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2329 |
| work_keys_str_mv | AT habibmuzaffar someinterestingseriesarisingfromthepowerseriesexpansionofsin1xq |