본문 바로가기
KERD
논문KCI 등재

DEGENERATE COMPLETE BELL POLYNOMIALS AND NUMBERS

2

조회

0

다운로드

6

인용

0

참고문헌

키워드

주제분류수학

초록

Recently, several authors have studied complete Bell polyno- mials and numbers. In this paper, we consider degenerate complete Bell polynomials and numbers and we give some explicit formulas for these numbers and polynomials related to degenerate Stirling numbers.

Abstract

Recently, several authors have studied complete Bell polyno- mials and numbers. In this paper, we consider degenerate complete Bell polynomials and numbers and we give some explicit formulas for these numbers and polynomials related to degenerate Stirling numbers.

참고문헌 (12)

  1. S. Bouroubi, "A new identity for complete Bell polynomials based on a formula of Ramanujan", J. Integer Seq, 12(3) (2009)
  2. L. Carlitz, "Some congruences for the Bell polynomials", Pacific J. Math, 11, pp.1215~1222 (1961)
  3. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  4. N. P. Cakic, "The complete Bell polynomials and numbers of Mitrinovic", Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat, 6, pp.74~78 (1995)
  5. 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]
  6. 김택연, "On partially degenerate Bell numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.337~346 (2017), 장전수학회[DOI]
  7. 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]
  8. 김태균, "λ-analogue of stirling numbers of the first kind", Advanced Studies in Contemporary Mathematics, 27(3), pp.423~429 (2017), 장전수학회[DOI]
  9. D. S. Kim, "On degenerate Bell numbers and polynomials", Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Math. RACSAM, 111(2), pp.435~446 (2017)
  10. K. S. Kolbig, "Some infinite integrals with powers of logarithms and the complete Bell polynomials", J. Comput. Appl. Math, 69(1), pp.39~47 (1996)
  11. P. Natalini, "Remarks on Bell and higher order Bell polynomials and numbers", Cogent Math, 3, pp.15~ (2016)
  12. W. Wang, "General identities on Bell polynomials", Comput. Math. Appl, 28, pp.104~118 (2009)

관련 논문AI추천

이 간행물의 다른 논문 (15건)