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# Some identities of symmetry for the generalized Bernoulli numbers and polynomials

04/2009;
Source: arXiv

ABSTRACT In this paper, by the properties of p-adic invariant integral on Zp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on Zp, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.

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##### Article:Some identities of the generalized twisted Bernoulli numbers and polynomials of highert order
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ABSTRACT: The purpose of this paper is to derive some identities of the higher order generalized twisted Bernoulli numbers and polynomials attached to $\chi$ from the properties of the p-adic invariant integrals. Comment: 8
07/2009;
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##### Article:Identities of symmetry for generalized Bernoulli polynomials
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ABSTRACT: In this paper, we derive eight basic identities of symmetry in three variables related to generalized Bernoulli polynomials and generalized power sums. All of these are new, since there have been results only about identities of symmetry in two variables. The derivations of identities are based on the $p$-adic integral expression of the generating function for the generalized Bernoulli polynomials and the quotient of $p$-adic integrals that can be expressed as the exponential generating function for the generalized power sums. Comment: No comments
03/2010;

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interesting relationship