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CERTAIN RESULTS ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS

CERTAIN RESULTS ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS

In this work, we deal with <TEX>$q$</TEX>-Genocchi numbers and polynomials. We derive not only new but also interesting properties of the <TEX>$q$</TEX>-Genocchi numbers and polynomials. Also, we give Cauchy-type integral formula of the <TEX>$q$</TEX>-Genocchi polynomials and derive distribution formula for the <TEX>$q$</TEX>-Genocchi polynomials. In the final part, we introduce a …