본문 바로가기
KERD
논문KCI 등재

Two variable degenerate Bell polynomials associated with poisson degenerate central moments

김태균|이현석|김대산|김한영
장전수학회 (Jangjeon Mathematical Society)|2020.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제23권 제4호|pp. 587-596|DOI 10.17777/pjms.2020.23.4.015

1

조회

0

다운로드

3

인용

0

참고문헌

키워드

two variable degenerate Bell polynomialsPoisson degenerate central momentsStirling type numbers
주제분류수학

초록

In this paper, we introduce two variable degenerate Bell polynomials as a generalization of the degenerate Bell polynomials which were studied earlier. Among other things, we show their connections with Poisson degenerate central moments and Charlier polynomials.

Abstract

In this paper, we introduce two variable degenerate Bell polynomials as a generalization of the degenerate Bell polynomials which were studied earlier. Among other things, we show their connections with Poisson degenerate central moments and Charlier polynomials.

참고문헌 (19)

  1. Brillhart, J, "Mathematical Notes: Note on the Single Variable Bell Polynomials", Amer. Math. Monthly, 74(6), pp.695~696 (1967)
  2. Carlitz, L, "Some remarks on the Bell numbers", Fibonacci Quart, 18(1), pp.66~73 (1980)
  3. Carlitz, L, "Single variable Bell polynomials", Collect. Math, 14, pp.13~25 (1962)
  4. Carlitz, L, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  5. Howard, F. T, "A special class of Bell polynomials", Math. Comp, 35(151), pp.977~989 (1980)
  6. Howard, F. T, "Bell polynomials and degenerate Stirling numbers", Rend. Sem. Mat. Univ. Padova, 61, pp.203~219 (1979)
  7. Kim, D. S, "A note on a new type of degenerate Bernoulli numbers", Russ. J. Math.Phys, 27(2), pp.227~235 (2020)
  8. Kim, D. S, "On degenerate Bell numbers and polynomials", Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM, 111(2), pp.435~446 (2017)
  9. Kim, J. B, "On some numbers from the Bell polynomials", Math. Japon, 18, pp.1~4 (1973)
  10. 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]
  11. 김택연, "On partially degenerate Bell numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.337~346 (2017), 장전수학회[DOI]
  12. Kim, T, "Some identities on generalized degenerate Genocchi and Euler numbers", Informatica, 31(4), pp.42~51 (2020)
  13. 김태균, "A note on discrete degenerate random variables", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 23(1), pp.125~135 (2020), 장전수학회
  14. Kim, T, "Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials", Adv. Difference Equ, pp.168~ (2020)
  15. Kim, T, "Degenerate r-Stirling numbers and r -Bell polynomials", Russ. J. Math. Phys, 25(1), pp.44~58 (2018)
  16. Privault, N, "Generalized Bell polynomials and the combinatorics of Possion central moments", Elect. J. Comb, 18 (2011)
  17. Roman, S, "The umbral calculus, Pure and Applied Mathematics" (1984), Academic Press, Inc
  18. Roman, S, "The umbral calculus", Advances in Math, 27(2), pp.95~188 (1978)
  19. Ross, S.M, "Introduction to Probability Models" (2007), Academic Press

관련 논문AI추천

Extended stirling polynomials of the second kind and extended Bell polynomials김대산, 김택연, 장광우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호A NOTE ON IDENTITIES INVOLVING SPECIAL NUMBERS AND MOMENTS OF POISSON RANDOM VARIABLE권종겸, 김대산, 김태균, 표성수장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호On some new type of generating functions of generalized Poisson-Charlier polynomialsMumtaz Ahmad Khan, Shakeel Ahmed대한수학회 · 대한수학회논문집2022 · 제37권 제1호A note on degenerate central factorial polynomials of the second kind김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호Some identities of fully degenerate bell polynomials arising from differential equations김태균, 표성수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호SOME IDENTITIES ON DEGENERATE BELL POLYNOMIALS AND THEIR RELATED IDENTITIES김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제1호

이 간행물의 다른 논문 (14건)

A family of associated sequences and their representations by Appell polynomials이현석, 김태균, 김대산, 장이채, 김한영pp. 445-458Level operators over index matrices. part 1: Index matrices with real non-negative elementsK. Atanassovpp. 459-464On (3,4)-regular bipartitions with designated summandsY. VEERANNA, M. S. MAHADEVA NAIKA, HARISHKUMAR T.pp. 465-478NOTE ON DIFFERENT KINDS OF SCHUR CONVEXITIES OF HEINZ TYPE MEANK. Sridevi, K. M. Nagaraja, P. S. K. Reddypp. 479-484Some coupled best proximity point results for weak GKT cyclic ø-contraction mappings on metric spacesN. Goswami, R. Roypp. 485-502
원문 보기