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 A new approach to $q$-Genocchi numbers and polynomials Bull. Korean Math. Soc. 2010 Vol. 47, No. 3, 575-583 https://doi.org/10.4134/BKMS.2010.47.3.575Published online May 1, 2010 Veli Kurt and Mehmet Cenkci Akdeniz University and Akdeniz University Abstract : In this paper, new $q$-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with $q$-Bernoulli numbers and polynomials are obtained. Keywords : $q$-exponential functions, $q$-Genocchi numbers and polynomials, $q$-Bernoulli numbers and polynomials MSC numbers : Primary 11G55, 11B68 Downloads: Full-text PDF