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학술저널

CERTAIN RESULTS ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS

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In this work, we deal with q-Genocchi numbers and polynomials. We derive not only new but also interesting prop- erties of the q-Genocchi numbers and polynomials. Also, we give Cauchy-type integral formula of the q-Genocchi polynomials and derive distribution formula for the q-Genocchi polynomials. In the¯nal part, we introduce a de¯nition of q-Zeta-type function which is interpolation function of the q-Genocchi polynomials at negative integers which we express in the present paper.

1. Preliminaries

2. Some poperties of q-Genocchi numbers and polynomials with weight 0

3. Further remarks

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