A NOTE ON THE SUMS OF POWERS OF CONSECUTIVE q-INTEGERS

نویسنده

YILMAZ SIMSEK

چکیده

In this paper we construct the q-analogue of Barnes's Bernoulli numbers and polynomials of degree 2, for positive even integers, which is an answer to a part of Schlosser's question. For positive odd integers, Schlosser's question is still open. Finally, we will treat the q-analogue of the sums of powers of consecutive integers.

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