Mathematics – Classical Analysis and ODEs
Scientific paper
2012-01-31
Mathematics
Classical Analysis and ODEs
Scientific paper
The main purpose of this paper is to introduce and investigate a new 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--Pint\'er addition theorem is obtained. We give new
identities involving q-Bernstein polynomials.
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