IDENTITIES OF SYMMETRY FOR GENERALIZED TWISTED BERNOULLI POLYNOMIALS TWISTED BY RAMIFIED ROOTS OF UNITY
We derive eight identities of symmetry in three variables related to generalized twisted Bernoulli polynomials and generalized twisted power sums, both of which are twisted by ramified roots of unity. All of these are new, since there have been results only about identities of symmetry in two variab... Full description
Journal Title:  Annals of the Alexandru Ioan Cuza University  Mathematics 01/1/2014, Vol.60(1), pp.1936 
Main Author:  Kim, Dae San 
Format:  Electronic Article 
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Quelle:  CrossRef 
ID:  ISSN: 12218421 ; DOI: http://dx.doi.org/10.2478/aicu20130006 
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recordid:  crossref10.2478/aicu20130006 
title:  IDENTITIES OF SYMMETRY FOR GENERALIZED TWISTED BERNOULLI POLYNOMIALS TWISTED BY RAMIFIED ROOTS OF UNITY 
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ispartof:  Annals of the Alexandru Ioan Cuza University  Mathematics, 01/1/2014, Vol.60(1), pp.1936 
description:  We derive eight identities of symmetry in three variables related to generalized twisted Bernoulli polynomials and generalized twisted power sums, both of which are twisted by ramified roots of unity. 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 padic integral expression of the generating function for the generalized twisted Bernoulli polynomials and the quotient of padic integrals that can be expressed as the exponential generating function for the generalized twisted power sums. 
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source:  CrossRef 
identifier:  ISSN: 12218421 ; DOI: http://dx.doi.org/10.2478/aicu20130006 
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