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https://open.uns.ac.rs/handle/123456789/14387
Title: | Computation of Euler's type sums of the products of Bernoulli numbers | Authors: | Petojević, Aleksandar Srivastava H. |
Issue Date: | 1-May-2009 | Journal: | Applied Mathematics Letters | Abstract: | In this work, the authors present several formulas which compute the following Euler's type and Dilcher's type sums of the products of Bernoulli numbers Bn: Ωn(m) {colon equals} under(∑, frac(j1 + ⋯ + jm = n, (j1, ..., jm ≧ 1))) fenced(frac(2 n, 2 j1, ..., 2 jm)) B2 j1 ⋯ B2 jm and Δn(m) {colon equals} under(∑, frac(j1 + ⋯ + jm = n, (j1, ..., jm ≧ 0))) fenced(frac(2 n, 2 j1, ..., 2 jm)) B2 j1 ⋯ B2 jm respectively, where fenced(frac(n, k1, ..., km)) = frac(n !, k1 ! ⋯ km !) denotes, as usual, the multinomial coefficient. © 2008 Elsevier Ltd. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/14387 | ISSN: | 08939659 | DOI: | 10.1016/j.aml.2008.06.040 |
Appears in Collections: | PEF Publikacije/Publications |
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