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Congruences for Generalized -Bernoulli Polynomials

Abstract

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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Correspondence to Mehmet Cenkci.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Cenkci, M., Kurt, V. Congruences for Generalized -Bernoulli Polynomials. J Inequal Appl 2008, 270713 (2008). https://doi.org/10.1155/2008/270713

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