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We derive three identities of symmetry in two variables and eight in three variables related to generalized twisted Bernoulli polynomials and generalized twisted power sums, both of which are twisted by unramified roots of unity. The case of ramified roots of unity was treated previously. The derivations of identities are based on the p-adic integral expression, with respect to a measure introduced by Koblitz, 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.
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참고문헌 (21)
참고문헌 신청
Bayad / 2010 / IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS / Advanced Studies in Contemporary Mathematics 20 (2) : 247 ~ 253
D. S. Kim / 2010 / Identities of symmetry for Euler polynomials arising from quotients of fermionic integrals invariant under S3 / J. Inequal. Appl 2010 : 16 ~
D. S. Kim / 2010 / Identities of symmetry for q-Bernoulli polynomials / Comput. Math. Appl 60 (8) : 2350 ~ 2359
D. S. Kim / 2013 / Identities of symmetry for Bernoulli polynomials arising from quotients of Volkenborn integrals invariant under S3 / Appl. Math. Comput 219 (10) : 5096 ~
D. S. Kim / 2014 / Identities of symmetry for generalized q-Euler polynomials arising from multivariate fermionic -adic integral on Z_p / Proceedings of the Jangjeon Mathemat
D. S. Kim / 2010 / Identities of symmetry for Euler polynomials arising from quotients of fermionic integrals invariant under S3 / J. Inequal. Appl 2010 : 16 ~
D. S. Kim / 2010 / Identities of symmetry for q-Bernoulli polynomials / Comput. Math. Appl 60 (8) : 2350 ~ 2359
D. S. Kim / 2013 / Identities of symmetry for Bernoulli polynomials arising from quotients of Volkenborn integrals invariant under S3 / Appl. Math. Comput 219 (10) : 5096 ~
D. S. Kim / 2014 / Identities of symmetry for generalized q-Euler polynomials arising from multivariate fermionic -adic integral on Z_p / Proceedings of the Jangjeon Mathemat
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