On sums of products of the extended -Euler numbers
β Scribed by Min-Soo Kim; Jun Ho Lee
- Book ID
- 118735054
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 214 KB
- Volume
- 397
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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.
In this paper, we consider two types of extended Euler sums: E
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,