Symmetry identities for generalized twisted Euler polynomials twisted by unramified roots of unity
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We derive three identities of symmetry in two variables and eight in three variables related to generalized twisted Euler polynomials and alternating 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 similar to that introduced by Koblitz, of the generating function for the generalized twisted Euler polynomials and the quotient of p-adic integrals that can be expressed as the exponential generating function for the alternating generalized twisted power sums.
Abstract
We derive three identities of symmetry in two variables and eight in three variables related to generalized twisted Euler polynomials and alternating 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 similar to that introduced by Koblitz, of the generating function for the generalized twisted Euler polynomials and the quotient of p-adic integrals that can be expressed as the exponential generating function for the alternating generalized twisted power sums.
참고문헌 (12)
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