On a class of q-Bernoulli and q-Euler polynomials


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Mahmudov N.

Advances in Difference Equations, vol.2013, 2013 (SCI-Expanded, Scopus) identifier

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The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava-Pintér addition theorem is obtained. We give new identities involving q-Bernstein polynomials. © 2013 Mahmudov; licensee Springer.