Explicit Formulas involving q-Euler Numbers and Polynomials

Details Explicit Formulas involving q-Euler Numbers and Polynomials Explicit Formulas involving q-Euler Numbers and Polynomials

2012-03-29

arxiv.org/abs/1203.6399v2

Mathematics

Number Theory

9 pages, submitted

Scientific paper

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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