본문 바로가기
KERD
논문KCI 등재

DEGENERATE ORDERED BELL NUMBERS AND POLYNOMIALS

2

조회

0

다운로드

6

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we study degenerate ordered Bell numbers and polynomials. In addition, we give some identities of these numbers and polynomials which are derived from the generating function.

Abstract

In this paper, we study degenerate ordered Bell numbers and polynomials. In addition, we give some identities of these numbers and polynomials which are derived from the generating function.

참고문헌 (14)

  1. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  2. A. Cayley, "On the analytical forms called trees", Philosophical Magazine, Series IV, 18(121), pp.374~378 (1859)
  3. L. Comtet, "Advanced Combinatorics: The Art of Finite and Infinite Expansions", pp.228~ (1974), D. Reidel Publishing Co
  4. Y. He, "General convolution identities for Apostol-Bernoulli Euler and Genocchi polynomials", J. Nonlinear Sci. Appl, 9(6), pp.4780~4797 (2016)
  5. D. S. Kim, "Powers under umbral composition and de-generation for Sheffer sequences", Adv. Difference Equ, 2016(66), pp.11~ (2016)
  6. D. S. Kim, "Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint", J. Inequal. Appl, 2015(228), pp.13~ (2015)
  7. D. S. Kim, "Umbral calculus associated with Bernoulli polynomials", J. Number Theory, 147, pp.871~882 (2015)
  8. T. Kim, "Some Formulas of ordered Bell numbers and polynomials arising from umbral calculus (communicated)", ~
  9. T. Kim, "Apostol-Euler polynomials arising from umbral calculus", Adv. Difference Equ, 2013(301), pp.7~ (2013)
  10. T. Kim, "Umbral calculus associated with Frobenius-type Eulerian polynomials", Russ. J. Math. Phys, 21(4), pp.484~493 (2014)
  11. T. Kim, "Some identities of degenerate q-Euler polynomials under the symmetry group of degree n", J. Nonlinear Sci. Appl, 9(6), pp.4707~4712 (2016)
  12. T. Kim, "Some identities for degenerate Frobenius-Euler nubmers arising from nonlinear differential equations", Ital. J. Pure Appl. Math, 36, pp.843~850 (2016)
  13. T. Kim, "Identities involving Laguerre polynomials derived from umbral calculus", Russ. J. Math. Phys, 21(1), pp.36~45 (2014)
  14. H.-I. Kwon, "A note on degenerate Changhee-Genocchi polynomials and num-bers", Global J. Pure Appl. Math, 12(5), pp.4057~4064 (2016)

관련 논문AI추천

이 간행물의 다른 논문 (13건)