Bernoulli Identities and Application to Euler Sums
博士 === 國立中正大學 === 數學研究所 === 92 === In this thesis we produce many Bernoulli identities. The important part is evaluation of the values at non-negative integers of zeta functions, and these values all have good expressions. By the Bernoulli identities involving Bernoulli polynomials, we ca...
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2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/55669490133117006325 |
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ndltd-TW-092CCU004790142016-01-04T04:08:29Z http://ndltd.ncl.edu.tw/handle/55669490133117006325 Bernoulli Identities and Application to Euler Sums 伯努利恆等式與其應用於尤拉和 Fu Yao Yang 楊富堯 博士 國立中正大學 數學研究所 92 In this thesis we produce many Bernoulli identities. The important part is evaluation of the values at non-negative integers of zeta functions, and these values all have good expressions. By the Bernoulli identities involving Bernoulli polynomials, we can evaluate the Euler sums and extended Euler sums. Apple the same way on Euler polynomials, we get the some special sums. Minking Eie 余文卿 2004 學位論文 ; thesis 121 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
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博士 === 國立中正大學 === 數學研究所 === 92 === In this thesis we produce many Bernoulli identities. The important part is evaluation of the values at non-negative integers of zeta functions, and these values all have good expressions. By the Bernoulli identities involving Bernoulli polynomials, we can evaluate the Euler sums and extended Euler sums. Apple the same way on Euler polynomials, we get the some special sums.
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| author2 |
Minking Eie |
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Minking Eie Fu Yao Yang 楊富堯 |
| author |
Fu Yao Yang 楊富堯 |
| spellingShingle |
Fu Yao Yang 楊富堯 Bernoulli Identities and Application to Euler Sums |
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Fu Yao Yang |
| title |
Bernoulli Identities and Application to Euler Sums |
| title_short |
Bernoulli Identities and Application to Euler Sums |
| title_full |
Bernoulli Identities and Application to Euler Sums |
| title_fullStr |
Bernoulli Identities and Application to Euler Sums |
| title_full_unstemmed |
Bernoulli Identities and Application to Euler Sums |
| title_sort |
bernoulli identities and application to euler sums |
| publishDate |
2004 |
| url |
http://ndltd.ncl.edu.tw/handle/55669490133117006325 |
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