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A note on degenerate Bell numbers and polynomials associated with p-adic integral on Zp

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Recently, Kim-Kim introduced the degenerate Bell numbers and polynomials which are related to special polynomials and numbers (see [4]). In this paper, we study the degenerate Bell numbers and polynomials associated with p-adic invariant integral on Zp and we give some identities and properties for special numbers and polynomials which are derived from the p-adic integral on Zp associated with degenerate Bell polynomials.

Abstract

Recently, Kim-Kim introduced the degenerate Bell numbers and polynomials which are related to special polynomials and numbers (see [4]). In this paper, we study the degenerate Bell numbers and polynomials associated with p-adic invariant integral on Zp and we give some identities and properties for special numbers and polynomials which are derived from the p-adic integral on Zp associated with degenerate Bell polynomials.

참고문헌 (9)

  1. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  2. DMITRY V. DOLGY, "On the modified degenerate Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.1~9 (2016), 장전수학회
  3. B. S. El-Desouky, "New results on higher-order Daehee and Bernoulli numbers and polynomais Adv", Difference Equ, 2016(32), pp.21~ (2016)
  4. Dae San Kim, "On degenerate Bell numbers and polynomials", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 111(2), pp.435~446 (2016), Springer Nature[DOI]
  5. 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
  6. D. S. Kim, "Some identities of Bell polynomials", Sci. China Math, 58(10), pp.2095~2104 (2015)
  7. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
  8. T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on Zp", Russ. J. Math. Phys, 16(1), pp.93~96 (2009)
  9. 권혁인, "Modified degenerate Euler polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.203~209 (2016), 장전수학회

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