ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS WITH WEIGHT ZERO AND THEIR APPLICATIONS

Serkan Araci, Mehmet Acikgoz, Feng Qi

Abstract


In the paper, the authors discuss properties of the q-Genocchi numbers and polynomials with weight zero. They discover some interesting relations via the p-adic q-integral on Z_p and familiar basis Bernstein polynomials and show that the p-adic log gamma functions are associated with the q-Genocchi numbers and polynomials with weight zero.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)