A new approach to $q$-Genocchi numbers and polynomials
Bull. Korean Math. Soc. 2010 Vol. 47, No. 3, 575-583
Published 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
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