SYMMETRIC IDENTITIES OF HIGHER-ORDER CARLITZ'S q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE FOUR

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참고문헌 (10)

1. L. Carlitz, "Expansions of q-Bernoulli numbers", Duke Math. J., 25, pp.355~364 (1958)
2. D. V. Dolgy, "Symmetry identities for the generalized higher-order q-Bernoulli polynomials under S3 arising from p-adic Volkenborn integral on Zp", Proc. Jangjeon Math. Soc., 17(4), pp.645~650 (2014)
3. Y. He, "Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials", Adv. Dier-ence Equ., 2013(246), pp.10~ (2013)
4. D. S. Kim, "Symmetry identities for generalized twisted Euler polynomials twisted by unram-ified roots of unity", Proc. Jangjeon Math. Soc., 15(3), pp.303~316 (2012)
5. D. S. Kim, "Some identities of symmetry for Carlitz q-Bernoulli polynomials invariant under S4", communicated, ~
6. 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
7. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
8. T. Kim, "Symmetry of power sum polynomials and multivariant fermionic p-adic invariant integral on Zp", Russ. J. Math. Phys., 16(1), pp.93~96 (2009)
9. T. Kim, "Symmetry properties of higher-order Bernoulli poly-nomials", Adv. Difference Equ. (2009)
10. T. Kim, "A family of (h; q)-zeta function associated with (h; q)-Bernoulli numbers and poly-nomials", J. Comput. Anal. Appl., 14(3), pp.402~409 (2012)

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