Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials. (English) Zbl 1221.11059

The authors introduce the Bernstein polynomials on the ring of \(p\)-adic integers \(\mathbb Z_p\) and investigate certain properties of the Bernstein polynomials related to the bosonic \(p\)-adic integrals on \(\mathbb Z_p\).


11B68 Bernoulli and Euler numbers and polynomials
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
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