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 alpha are introduced in [3]. In this paper we give some interesting p-adic integral representation on Z_p of the weighted q-Bernstein polynomials related to the modifed q-Bernoulli numbers and polynomials with weight alpha. From...

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Veröffentlicht in:Honam mathematical journal 2011, 33(4), , pp.519-527
Hauptverfasser: Dolgy, D.V., Kim, T.
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung:Recently, the modified q-Bernoulli numbers and polynomials with weight alpha are introduced in [3]. In this paper we give some interesting p-adic integral representation on Z_p of the weighted q-Bernstein polynomials related to the modifed q-Bernoulli numbers and polynomials with weight alpha. From those integral representation on Z_p of the weighted q-Bernstein polynomials, we can derive some identities on the modified q-Bernoulli numbers and polynomials with weight α. KCI Citation Count: 0
ISSN:1225-293X
2288-6176
DOI:10.5831/HMJ.2011.33.4.519