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A note on the alternating sums of powers of consecutive q-integers

Research paper by T. Kim

Indexed on: 10 Apr '06Published on: 10 Apr '06Published in: Mathematics - Number Theory



Abstract

In this paper we construct a new q-Euler numbers and polynomials. By using these numbers and polynomials, we give the interesting formulae related to alternating sums of powers of consecutive q-integers following an idea due to Euler.