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Sums of products of the degenerate Euler numbers

✍ Scribed by Wu, Ming; Pan, Hao

Book ID
125401742
Publisher
Springer International Publishing AG
Year
2014
Tongue
English
Weight
154 KB
Volume
2014
Category
Article
ISSN
1687-1839

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Euler sums of hyperharmonic numbers
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Computation of Euler’s type sums of the
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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 B n : respectively, where denotes, as usual, the multinomial coefficient.

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Closed expressions are obtained for sums of products of Bernoulli numbers of the form ( 2n 2j 1 , ..., 2jN ) B 2j1 } } } B 2jN , where the summation is extended over all nonnegative integers j 1 , ..., j N with j 1 + j 2 + } } } + j N =n. Corresponding results are derived for Bernoulli polynomials,

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