SOME INFINITE SUMS IDENTITIES


Autoria(s): Jaban, Meher; Bala, Sinha Sneh
Data(s)

2015

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