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Bull. Korean Math. Soc. 2010; 47(3): 575-583

Printed May 1, 2010

https://doi.org/10.4134/BKMS.2010.47.3.575

Copyright © The Korean Mathematical Society.

A new approach to $q$-Genocchi numbers and polynomials

Veli Kurt and Mehmet Cenkci

Akdeniz University and Akdeniz University

Abstract

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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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