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IDENTITIES OF SYMMETRY FOR GENERALIZED TWISTED BERNOULLI POLYNOMIALS TWISTED BY RAMIFIED ROOTS OF UNITY.

Authors :
Kim, Dae San
Source :
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică. Jan2014, Vol. 60 Issue 1, p19-36. 18p.
Publication Year :
2014

Abstract

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 p-adic integral expression of the generating function for the generalized twisted Bernoulli polynomials and the quotient of p-adic integrals that can be expressed as the exponential generating function for the generalized twisted power sums. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
12218421
Volume :
60
Issue :
1
Database :
Academic Search Index
Journal :
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică
Publication Type :
Academic Journal
Accession number :
100859796
Full Text :
https://doi.org/10.2478/aicu-2013-0006