IDENTITIES OF SYMMETRY FOR MODIFIED CARLITZ'S q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE 4
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Recently, Several authors have studied Carlitz’s q-Bernoulli polynomials which are given by βn,q(x) = ∫ Zp [x]nq dμq(x): In this paper, we s∫tudy the modified q-Bernoulli polynomials which are defined by Bn,q(x) = Zp [x]nq dμ0(x), (n ≥ 0): The purpose of this paper is to give identities of symmetry for the modified Carlitz’s q-Bernoulli polynomials arising from Volkenborn integral on Zp.
Abstract
Recently, Several authors have studied Carlitz’s q-Bernoulli polynomials which are given by βn,q(x) = ∫ Zp [x]nq dμq(x): In this paper, we s∫tudy the modified q-Bernoulli polynomials which are defined by Bn,q(x) = Zp [x]nq dμ0(x), (n ≥ 0): The purpose of this paper is to give identities of symmetry for the modified Carlitz’s q-Bernoulli polynomials arising from Volkenborn integral on Zp.
참고문헌 (10)
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