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HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS

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In this paper, we study the higher-order degenerate q-Bernoulli polynomials which are derived from the p-adic q-integrals on Zp. In addition, we give some identities and properties for these polynomials.

Abstract

In this paper, we study the higher-order degenerate q-Bernoulli polynomials which are derived from the p-adic q-integrals on Zp. In addition, we give some identities and properties for these polynomials.

참고문헌 (13)

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  4. L. Carlitz, "Expansions of q-Bernoulli numbers", Duke Math. J, 25, pp.355~364 (1958)
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  6. 최종성, "A note on the extended q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(4), pp.351~354 (2011), 장전수학회
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  8. Y. He, "Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials", Adv. Difference Equ, 2013(246), pp.10~ (2013)
  9. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
  10. 김태균, "On degenerate $q$-Bernoulli polynomials", 대한수학회보, 53(4), pp.1149~1156 (2016), 대한수학회
  11. G. D. Liu, "Degenerate Bernoulli numbers and polynomials of higher order", J. Math. (Wuhan), 25(3), pp.283~288 (2005)
  12. C. S. Ryoo, "A new identities on the q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.161~169 (2011), 장전수학회
  13. Y. Simsek, "Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function", J. Math. Anal. Appl, 324(2), pp.790~804 (2006)

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