Open Access

Congruences for Generalized -Bernoulli Polynomials

Journal of Inequalities and Applications20082008:270713

Received: 9 December 2007

Accepted: 15 February 2008

Published: 3 March 2008


In this paper, we give some further properties of -adic - -function of two variables, which is recently constructed by Kim (2005) and Cenkci (2006). One of the applications of these properties yields general classes of congruences for generalized -Bernoulli polynomials, which are -extensions of the classes for generalized Bernoulli numbers and polynomials given by Fox (2000), Gunaratne (1995), and Young (1999, 2001).

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Authors’ Affiliations

Department of Mathematics, Akdeniz University, Antalya, Turkey


© M. Cenkci and V. Kurt. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.