SOME INFINITE SUMS IDENTITIES
Data(s) |
2015
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Resumo |
We find the sum of series of the form Sigma(infinity)(i=1) f(i)/i(r) for some special functions f. The above series is a generalization of the Riemann zeta function. In particular, we take f as some values of Hurwitz zeta functions, harmonic numbers, and combination of both. These generalize some of the results given in Mezo's paper (2013). We use multiple zeta theory to prove all results. The series sums we have obtained are in terms of Bernoulli numbers and powers of pi. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/52778/1/Cze_Mat_Jou_65-3_819_2015.pdf Jaban, Meher and Bala, Sinha Sneh (2015) SOME INFINITE SUMS IDENTITIES. In: CZECHOSLOVAK MATHEMATICAL JOURNAL, 65 (3). pp. 819-827. |
Publicador |
SPRINGER HEIDELBERG |
Relação |
http://dx.doi.org/10.1007/s10587-015-0210-5 http://eprints.iisc.ernet.in/52778/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |