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An expression for central Bell polynomials

김태균|김대산|장관우|D.V.Dolgy
장전수학회 (Jangjeon Mathematical Society)|2019.04|Advanced Studies in Contemporary Mathematics|제29권 제2호|pp. 257-262

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참고문헌

키워드

central factorial numbers of the second kindcentral Bell polynomials
주제분류수학

초록

Recently, the central Bell polynomials were introduced by Kim-Kim in [12]. In this paper, we derive an expression for these polynomials involving the central factorial numbers of the second kind.

Abstract

Recently, the central Bell polynomials were introduced by Kim-Kim in [12]. In this paper, we derive an expression for these polynomials involving the central factorial numbers of the second kind.

참고문헌 (16)

  1. L. Carlitz, "The divided central differences of zero", Canad. J. Math, 15, pp.94~100 (1963)
  2. H. -W. Gould, "Implications of Spivey's Bell number formula", J. Integer Seq, 11(3), pp.6~ (2008)
  3. D. S. Kim, "Some identities of Bell polynomials", Sci. China Math, 58(10), pp.2095~2104 (2015)
  4. 김태균, "ON CENTRAL FUBINI POLYNOMIALS ASSOCIATED WITH CENTRAL FACTORIAL NUMBERS OF THE SECOND KIND", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(4), pp.589~598 (2018), 장전수학회[DOI]
  5. 김태균, "A NOTE ON CENTRAL FACTORIAL NUMBERS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(4), pp.575~588 (2018), 장전수학회[DOI]
  6. T. Kim, "Extended central factorial polynomials of the second kind", Advances in Difference Equations, 2019, pp.24~ (2019)
  7. 김택연, "On partially degenerate Bell numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.337~346 (2017), 장전수학회[DOI]
  8. 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]
  9. T. Kim, "Degenerate r-Stirling numbers and r-Bell polynomials", Russ. J. Math. Phys, 25(1), pp.44~58 (2018)
  10. T. Kim, "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys, 24(2), pp.241~248 (2017)
  11. Taekyun Kim, "Degenerate central Bell numbers and polynomials", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113(3), pp.2507~2513 (2019), Springer Science and Business Media LLC[DOI]
  12. T. Kim, "A note on Central Bell numbers and polynomials, to appear in Russ", J. Math. Phys
  13. 표성수, "DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS OF THE FOURTH KIND", Advanced Studies in Contemporary Mathematics, 28(1), pp.127~138 (2018), 장전수학회[DOI]
  14. S. Roman, "The umbral calculus, Pure and Applied Mathematics 111" (1984), Academic Press, Inc
  15. 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]
  16. M. Z. Spivey, "A generalized recurrence for Bell numbers", J. Integer Seq, 11(2), pp.3~ (2008)[DOI]

관련 논문AI추천

A note on degenerate central factorial polynomials of the second kind김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호A NOTE ON CENTRAL FACTORIAL NUMBERS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호A note on ordered Bell numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호DEGENERATE COMPLETE BELL POLYNOMIALS AND NUMBERS김택연장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호On partially degenerate Bell numbers and polynomials김대산, 김택연, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호DEGENERATE ORDERED BELL NUMBERS AND POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호

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