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arXiv · 1212.3989

Generalizations of Poly-Bernoulli numbers and polynomials

Hassan Jolany·M. R. Darafsheh·R. Eizadi Alikelaye
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Abstract

The Concepts of poly-Bernoulli numbers $B_n^{(k)}$, poly-Bernoulli polynomials $B_n^{k}{(t)}$ and the generalized poly-bernoulli numbers $B_{n}^{(k)}(a,b)$ are generalized to $B_{n}^{(k)}(t,a,b,c)$ which is called the generalized poly-Bernoulli polynomials depending on real parameters \textit{a,b,c}. Some properties of these polynomials and some relationships between $B_n^{k}$, $B_n^{(k)}(t)$, $B_{n}^{(k)}(a,b)$ and $B_{n}^{(k)}(t,a,b,c)$ are established

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Hassan Jolany, M. R. Darafsheh, R. Eizadi Alikelaye. 2012-12-17. Generalizations of Poly-Bernoulli numbers and polynomials. https://arxiv.org/abs/1212.3989

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