منابع مشابه
Sums of Products of Bernoulli Numbers, Including Poly-Bernoulli Numbers
We investigate sums of products of Bernoulli numbers including poly-Bernoulli numbers. A relation among these sums and explicit expressions of sums of two and three products are given. As a corollary, we obtain fractional parts of sums of two and three products for negative indices.
متن کاملSpecial Multi-Poly-Bernoulli Numbers
In this paper we investigate generalized poly-Bernoulli numbers. We call them multi-poly-Bernoulli numbers, and we establish a closed formula and a duality property for them.
متن کاملRecurrence Formulae for Multi-poly-bernoulli Numbers
In this paper we establish recurrence formulae for multi-poly-Bernoulli numbers. –Dedicated to Professor Ryuichi Tanaka on the occasion of his sixtieth birthday
متن کاملA Note on Degenerate Hermite Poly–bernoulli Numbers and Polynomials
In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions. These results extend some known summations and identities of d...
متن کاملA note on poly-Bernoulli numbers and multiple zeta values
We review several occurrences of poly-Bernoulli numbers in various contexts, and discuss in particular some aspects of relations of poly-Bernoulli numbers and special values of certain zeta functions, notably multiple zeta values.
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 1997
ISSN: 1246-7405
DOI: 10.5802/jtnb.197