논문KCI 등재
A NOTE ON CENTRAL FACTORIAL NUMBERS
1
조회
0
다운로드
6
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we study the central factorial numbers of the second kind. In particular, we derive some identities and recurrence rela- tions arising from the generating function. In addition, we will give some applications related to special polynomials and numbers.
Abstract
In this paper, we study the central factorial numbers of the second kind. In particular, we derive some identities and recurrence rela- tions arising from the generating function. In addition, we will give some applications related to special polynomials and numbers.
참고문헌 (18)
- L. Carlitz, "The divided central differences of zero", Canad. J. Math., 15, pp.94~100 (1963)[DOI]
- C.H. Chang, "Central factorial numbers and values of Bernoulli and Euler polynomials at rationals", Numer Funct Anal Optim, 30(3-4), pp.214~226 (2009)[DOI]
- P.L. Butzer, "Central factorial numbers; their main properties and some applications", Numer Funct Anal Optim, 10, pp.419~488 (1989)[DOI]
- L. Comtet, "Advanced combinatorics: the art of finite and infinite expansions" (1974), Reidel
- C. Jordan, "Calculus of Finite Differences" (1960), New York
- 김대산, "A note on degenerate Eulerian numbers and polynomials", Advanced Studies in Contemporary Mathematics, 27(4), pp.431~440 (2017), 장전수학회[DOI]
- T. Kim, "Degenerate r-Stirling numbers and r-Bell polynomials", Russ. J. Math. Phys., 25(1), pp.44~58 (2018)[DOI]
- 김택연, "A note on degenerate stirling polynomials of the second kind", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.319~332 (2017), 장전수학회[DOI]
- 김택연, "Extended stirling polynomials of the second kind and extended Bell polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.365~376 (2017), 장전수학회[DOI]
- T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on <TEX>$\mathbb{Z}_p$<", TEX>, 2009, pp.16(4), 484~491
- T. Kim, "Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials", Util. Math., 106, pp.11~21 (2018)
- E. Lucas, "Theorie des Nombres" (1891), Gauthier-Villars
- 표성수, "DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS OF THE FOURTH KIND", Advanced Studies in Contemporary Mathematics, 28(1), pp.127~138 (2018), 장전수학회[DOI]
- J. Riordan, "Combinatorial identities" (1968), Wiley
- S. Roman, "The Umbral Calculus" (1984), Academic Press
- YILMAZ SIMSEK, "IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(2), pp.199~212 (2017), 장전수학회[DOI]
- E.T. Whittaker, "A Course of Modern Analysis" (1963), Cambridge University Press
- W.P. Zhang, "Some identities involving the Euler and central factorial numbers", Fibonacci Quart., 36, pp.154~157 (1998)
관련 논문AI추천
A note on degenerate central factorial polynomials of the second kind김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호A note on r-Whitney type central factorial numbers of the second kind김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제1호An expression for central Bell polynomials김대산, 김태균, 장관우, D.V.Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호IDENTITIES AND RELATIONS RELATED TO COMBINATORIAL NUMBERS AND POLYNOMIALSYilmaz Simsek장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호Some identities of central Fubini polynomials arising from nonlinear differential equation김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호ON CENTRAL FUBINI POLYNOMIALS ASSOCIATED WITH CENTRAL FACTORIAL NUMBERS OF THE SECOND KIND권종겸, 김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호
이 간행물의 다른 논문 (18건)
ON CENTRAL FUBINI POLYNOMIALS ASSOCIATED WITH CENTRAL FACTORIAL NUMBERS OF THE SECOND KIND김태균, 권종겸, 김대산pp. 589-598APPLIED SYMMETRICAL PRINCIPLE TO SOLVE SCHWARZ-CHRISTOFFEL PARAMETER PROBLEMHUIQING PENG, MEI YUAN, AND YUN LEIpp. 599-616SELF-DUAL CODES OVER THE RING F2m + uF2m + vF2m + uvF2mAnkurpp. 617-626TO SOLVE MATRIX GAMES WITH FUZZY GOALS USING PIECEWISE LINEAR MEMBERSHIP FUNCTIONSSANDEEP KUMARpp. 627-636BUCKLING BEHAVIOUR OF SINGLE WALLED SHORT CARBON NANOTUBESPARUL TIWARIpp. 637-643
