Relations among Sums of Reciprocal Powers—Part II
Some formulas relating the classical sums of reciprocal powers are derived in a compact way by using generating functions. These relations can be conveniently written by means of certain numbers which satisfy simple summation formulas. The properties of the generating functions can be further used t...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/421478 |
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| _version_ | 1832548885391736832 |
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| author | José María Amigó |
| author_facet | José María Amigó |
| author_sort | José María Amigó |
| collection | DOAJ |
| description | Some formulas relating the classical sums of reciprocal powers
are derived in a compact way by using generating functions. These relations
can be conveniently written by means of certain numbers which satisfy
simple summation formulas. The properties of the generating functions can
be further used to easily calculate several series involving the classical sums
of reciprocal powers. |
| format | Article |
| id | doaj-art-5c14798e17344f1aaf5128b846726ed7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5c14798e17344f1aaf5128b846726ed72025-02-03T06:12:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/421478421478Relations among Sums of Reciprocal Powers—Part IIJosé María Amigó0Centro de Investigación Operativa, Universidad Miguel Hernández, Avenida de la Universidad s/n, 03202 Elche (Alicante), SpainSome formulas relating the classical sums of reciprocal powers are derived in a compact way by using generating functions. These relations can be conveniently written by means of certain numbers which satisfy simple summation formulas. The properties of the generating functions can be further used to easily calculate several series involving the classical sums of reciprocal powers.http://dx.doi.org/10.1155/2008/421478 |
| spellingShingle | José María Amigó Relations among Sums of Reciprocal Powers—Part II International Journal of Mathematics and Mathematical Sciences |
| title | Relations among Sums of Reciprocal Powers—Part II |
| title_full | Relations among Sums of Reciprocal Powers—Part II |
| title_fullStr | Relations among Sums of Reciprocal Powers—Part II |
| title_full_unstemmed | Relations among Sums of Reciprocal Powers—Part II |
| title_short | Relations among Sums of Reciprocal Powers—Part II |
| title_sort | relations among sums of reciprocal powers part ii |
| url | http://dx.doi.org/10.1155/2008/421478 |
| work_keys_str_mv | AT josemariaamigo relationsamongsumsofreciprocalpowerspartii |