본문 바로가기
KERD
논문KCI 등재

A note on the (h,q)-Changhee numbers and polynomials

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we introduce a new q-analogue of the Changhee numbers and polynomials of the rst kind and the second kind of order r, which are called the Witt-type formula for the q-analogue of Changhee polynomials of order r. We can derive some new interesting identities related to the q-Changhee polynomials of order r.

Abstract

In this paper, we introduce a new q-analogue of the Changhee numbers and polynomials of the rst kind and the second kind of order r, which are called the Witt-type formula for the q-analogue of Changhee polynomials of order r. We can derive some new interesting identities related to the q-Changhee polynomials of order r.

참고문헌 (17)

  1. S. Arici, "On a q-analogue of some numbers and polynomials", J. Ineqal. Appl., 2015, pp.19~ (2015)
  2. A. Bayad, "Identities involving values of Bernstein, q- Bernoulli, and q-Euler polyno-mials", Russ. J. Math. Phys., 18, pp.133~143 (2011)
  3. L. Comtet, "Advanced Combinatorics" (1974), Reidel
  4. D. V. Dolgy, "A note on Changhee polynomials and numbers with q-parameter", Int. J. Math. Anal., 8(26), pp.1255~1264 (2014)
  5. S. Gaboury, "Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.115~123 (2014), 장전수학회
  6. D. S. Kim, "Some symmetric identites for the higher-order q-Euler polynomials related to symmetry group S3 arising from p-adic q-fermionic integral on Zp", Filomat, 30(7), pp.1717~1721 (2016)
  7. D. S. Kim, "A note on Changhee polynomials and numbers", Adv. Stud. Theor. Phys, 7(20), pp.993~1003 (2013)
  8. D. S. Kim, "Higher-order Changhee numbers and polynomials", Adv. Stud. Theor. Phys., 8(8), pp.365~373 (2014)
  9. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integral", J. Nonlinear Math. Phys., 14(1), pp.15~27 (2007)
  10. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys., 16(4), pp.484~491 (2009)
  11. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  12. A. I. Shtern, "STRONGLY TRANSLATION CONTINUOUS FUNCTIONALS ON THE SPACE LUC(G) FOR AN AMENABLE TOPOLOGICAL GROUP G", Advanced Studies in Contemporary Mathematics, 23(1), pp.5~11 (2013), 장전수학회
  13. T. Kim, "A note on q-Changhee polynomials and numbers", Adv. Stud. Theor. Phys, 8(1), pp.35~41 (2014)
  14. E. -J. Moon, "A note on the generalized q-Changhee numbers of higher order", J. Comput. Anal. Appl., 20(3), pp.470~479 (2016)
  15. A. Sharma, "q-Bernoulli and Euler numbers of higher order", Duke Math. J, 25, pp.343~353 (1958)
  16. H. Srivastava, "Some generalizations and basic (or q-)extensions of the Bernoulli, Euler and Genocchi polynomials", Appl. Math. Inf. Sci., 5, pp.390~444 (2011)
  17. Z. Zhang, "Some closed formulas for generalizations of Bernoulli and Euler numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 11(2), pp.191~198 (2008), 장전수학회

관련 논문AI추천

이 간행물의 다른 논문 (11건)