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A note on Carlitz's type q-Changhee numbers and polynomials

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In this paper, we consider the Carlitz's type q-analogue of Changhee numbers and polynomials and we give some explicit formulae for these numbers and polynomials.

Abstract

In this paper, we consider the Carlitz's type q-analogue of Changhee numbers and polynomials and we give some explicit formulae for these numbers and polynomials.

참고문헌 (14)

  1. L. Carlitz, "Expansions of q-Bernoulli numbers", Duke Math. J., 25, pp.355~364 (1958)
  2. L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Amer. Math. Soc, 76, pp.332~350 (1954)
  3. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
  4. B.-M. Kim, "Some explicit identities of Changhee-Genocchi polynomials and numbers", Adv. Difference Equ, 202, pp.12~ (2016)
  5. D. S. Kim, "A note on Changhee polynomials and numbers", Phys, 7(20), pp.993~1003 (2013)
  6. D. S. Kim, "Higher-order Changhee numbers and polynomials", Phys, 8(8), pp.365~373 (2014)
  7. D. S. Kim, "Some symmetric identities for the higher-order q-Euler polynomials related to symmetry group S3 arising from p-adic q-fermionic integrals on Zp", 1717-1721, 30(7), pp.1717~1721 (2016)
  8. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76(2), pp.320~329 (1999)
  9. T. Kim, "q-Volkenborn integration", Phys, (3), pp.288~299 (2002)
  10. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", Phys, 14, pp.15~27 (2007)
  11. J. G. Lee, "On Appell-type Changhee poly-nomials and numbers", Adv. Difference Equ, 160, pp.10~ (2016)
  12. E.-J. Moon, "A note on the generalized q-Changhee numbers of higher order", 470-479, 20(3), pp.470~479 (2016)
  13. T. Kim, "Degenerate q-Changhee polynomials", 2389-2393, 9(5), pp.2389~2393 (2016)
  14. T. Kim, "A note on q-Changhee polynomials and num-bers", Phys, 8(1), pp.35~41 (2014)

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