Abstract
In this work we are interested by giving a new $q$-analogue of Bernoulli numbers and polynomials which are symmetric under the interchange $q\leftrightarrow q^{-1}$ and deduce some important relations of them. Also, we deduce a $q$-analogue of the Euler-Maclaurin formulas.
Citation
Hédi Elmonser. "Symmetric q-Bernoulli numbers and polynomials." Funct. Approx. Comment. Math. 56 (2) 181 - 193, June 2017. https://doi.org/10.7169/facm/1603
