논문KCI 등재
A note on ordered Bell numbers and polynomials
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we study ordered Bell numbers and polynomials and we give some new identities of these numbers and polynomials arising from umbral calculus.
Abstract
In this paper, we study ordered Bell numbers and polynomials and we give some new identities of these numbers and polynomials arising from umbral calculus.
참고문헌 (13)
- A. Cayley, "On the analytical forms called trees, second part", Philosophical Magazine, Series IV, 18(121), pp.374~378 (1859)
- L. Comtet, "Advanced Combinatorics: The Art of Finite and In nite Expansions", pp.228~ (1974), D. Reidel Publishing Co.
- D. S. Kim, "Powers under umbral composition and de-generation for Sheffer sequences", Adv. Difference Equ, 66, pp.11~ (2016)
- D. S. Kim, "Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint", J. Inequal. Appl, 228, pp.13~ (2015)
- D. S. Kim, "An umbral calculus approach to poly-Cauchy polynomials with a q parameter", J. Comput. Anal. Appl, 18(5), pp.762~792 (2015)
- D. S. Kim, "Umbral calculus associated with Bernoulli polynomials", J. Number Theory, 147, pp.871~882 (2015)
- T. Kim, "Some Formulas of ordered Bell numbers and polynomials arising from umbral calculus", ~
- T. Kim, "Apostol-Euler polynomials arising from umbral calculus", Adv. Difference Equ, 301, pp.7~ (2013)
- T. Kim, "Umbral calculus associated with Frobenius-type Eulerian polynomials", Russ. J. Math. Phys, 21(4), pp.484~493 (2014)
- T. Kim, "Bernoulli polynomials of the second kind and their identities arising from umbral calculus", J. Nonlinear Sci. Appl, 9(3), pp.860~869 (2016)
- T. Kim, "Umbral calculus and Sheffer sequences of polynomials", J. Math. Phys, 54(8), pp.15~ (2013)
- T. Kim, "Identities involving Laguerre polynomials derived from umbral calculus", Russ. J. Math. Phys, 21(1), pp.36~45 (2014)
- S. Roman, "The umbral calculus, Pure and Applied Mathematics, vol. 111" (1984), Academic Press
관련 논문AI추천
SOME FORMULAS OF ORDERED BELL NUMBERS AND POLYNOMIALS ARISING FROM UMBRAL CALCULUS김대산, 김택연, 장광우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호DEGENERATE ORDERED BELL NUMBERS AND POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호On partially degenerate Bell numbers and polynomials김대산, 김택연, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호DEGENERATE COMPLETE BELL POLYNOMIALS AND NUMBERS김택연장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호IDENTITIES INVOLVING TOUCHARD POLYNOMIALS DERIVED FROM UMBRAL CALCULUSO. Herscovici, T. Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호Some identities of ordered Bell numbers arising from differential equation김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호
이 간행물의 다른 논문 (13건)
New Huygens and related trigonometric and hyperbolic inequalitiesJózsef Sándorpp. 155-158The application of the Choquet integral expected utility in international trade장이채, Jacob Woodpp. 159-173Certain properties of classes of meromorphic functions defined by a linear operator and associated with the Hurwitz-Lerch zeta functionF. GHANIMpp. 175-180Fuzzy normal congruences of inverse semigroupsB.G. SON, 성열욱pp. 181-188A new class of double integrals involving generalized hypergeometric functions최준상, A. K. Rathiepp. 189-198