• 제목/요약/키워드: Dirichlet character of polynomials

검색결과 5건 처리시간 0.02초

SYMMETRY PROPERTIES FOR A UNIFIED CLASS OF POLYNOMIALS ATTACHED TO χ

  • Gaboury, S.;Tremblay, R.;Fugere, J.
    • Journal of applied mathematics & informatics
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    • 제31권1_2호
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    • pp.119-130
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    • 2013
  • In this paper, we obtain some generalized symmetry identities involving a unified class of polynomials related to the generalized Bernoulli, Euler and Genocchi polynomials of higher-order attached to a Dirichlet character. In particular, we prove a relation between a generalized X version of the power sum polynomials and this unified class of polynomials.

ON THE SYMMETRY PROPERTIES OF THE GENERALIZED HIGHER-ORDER EULER POLYNOMIALS

  • Bayad, Abdelmejid;Kim, Tae-Kyun;Choi, Jong-Sung;Kim, Young-Hee;Lee, Byung-Je
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.511-516
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    • 2011
  • In this paper we prove a generalized symmetry relation between the generalized Euler polynomials and the generalized higher-order (attached to Dirichlet character) Euler polynomials. Indeed, we prove a relation between the power sum polynomials and the generalized higher-order Euler polynomials..

SOME SYMMETRY IDENTITIES FOR GENERALIZED TWISTED BERNOULLI POLYNOMIALS TWISTED BY UNRAMIFIED ROOTS OF UNITY

  • Kim, Dae San
    • 대한수학회보
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    • 제52권2호
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    • pp.603-618
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    • 2015
  • 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.