A Note on the Weighted q-Bernoulli Numbers and the Weighted q-Bernstein Polynomials

A Note on the Weighted q-Bernoulli Numbers and the Weighted q-Bernstein Polynomials

Recently, the modified q-Bernoulli numbers and polynomials with weight α are introduced in [3]. In this paper we give some interesting p-adic integral representation on Zp of the weighted q-Bernstein polynomials related to the modified q-Bernoulli numbers and polynomials with weight α. From those in...

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Veröffentlicht in:Honam mathematical journal 2011-12, Vol.33 (4), p.519-527
Hauptverfasser: Dolgy, D.V, Kim, T
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Higher order q-Bernoulli numbers and polynomials with weight α
p-adic q-integral
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Kim, T
description Recently, the modified q-Bernoulli numbers and polynomials with weight α are introduced in [3]. In this paper we give some interesting p-adic integral representation on Zp of the weighted q-Bernstein polynomials related to the modified q-Bernoulli numbers and polynomials with weight α. From those integral representation on Zp of the weighted q-Bernstein polynomials, we can derive some identities on the modified q-Bernoulli numbers and polynomials with weight α.
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subjects Higher order q-Bernoulli numbers and polynomials with weight α
p-adic q-integral
title A Note on the Weighted q-Bernoulli Numbers and the Weighted q-Bernstein Polynomials
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