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arXiv · 1203.6399

Explicit Formulas involving q-Euler Numbers and Polynomials

Serkan Araci·Mehmet Acikgoz·Jong Jin Seo
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Abstract

In this paper, we deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q-Euler numbers and polynomials by using their generating function and derivative operator. Also, we show between the q-Euler numbers and q-Bernoulli numbers via the p-adic q-integral in the p-adic integer ring.

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Serkan Araci, Mehmet Acikgoz, Jong Jin Seo. 2012-04-04. Explicit Formulas involving q-Euler Numbers and Polynomials. https://doi.org/10.1155/2012%2F298531

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