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DIFFERENTIAL EQUATIONS ARISING FROM STIRLING POLYNOMIALS AND APPLICATIONS

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In this paper, we study differential equations arising from Stirling polynomials and derive some new and explicit identities for Bernoulli numbers and Sirling polynomials from those differential equations.

Abstract

In this paper, we study differential equations arising from Stirling polynomials and derive some new and explicit identities for Bernoulli numbers and Sirling polynomials from those differential equations.

참고문헌 (24)

  1. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  2. D. V. Dolgy, "Degenerate poly-Cauchy polynomials", Appl. Math. Comput, 269, pp.637~646 (2015)
  3. D.V. Dolgy, "Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials", Russ. J. Math. Phys, 18(2), pp.133~143 (2011)
  4. S. Gaboury, "Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.115~123 (2014), 장전수학회
  5. J. Jeong, "On finite-times degenerate Cauchy numbers and polynomials", Adv. Differece Equ, 2015(321) (2015)
  6. 김대산, "Identities associated with generalized twisted Euler polynomials twisted by ramified roots of unity", Advanced Studies in Contemporary Mathematics, 22(3), pp.363~377 (2012), 장전수학회[DOI]
  7. 김대산, "Symmetry identities for generalized twisted Euler polynomials twisted by unramified roots of unity", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.303~316 (2012), 장전수학회[DOI]
  8. 김대산, "Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials", Advanced Studies in Contemporary Mathematics, 23(4), pp.621~636 (2013), 장전수학회
  9. 김대산, "SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION", 대한수학회보, 52(6), pp.2001~2010 (2015), 대한수학회
  10. T. Kim, "On the degenerate higher-order Cauchy numbers and polynomials", Advanced Studies in Contemporary Mathematics, 25(3), pp.423~427 (2015), 장전수학회
  11. T. Kim, "Degenerate Bernoulli polynomials associated with -adic invariant integral on", Advanced Studies in Contemporary Mathematics, 25(3), pp.273~279 (2015), 장전수학회
  12. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear differential equations", J. Number Theory, 132, pp.2854~2865 (2012)
  13. T. Kim, "Barnes' type multiple degenerate Bernoulli and Euler polynomials", Appl. Math. Comput, 258, pp.556~564 (2015)
  14. T. Kim, "A note on q-Bernstein polynimials", Russ. J. Math. Phys, 18(1), pp.73~82 (2011)
  15. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys, 16(4), pp.484~491 (2009)
  16. T. Kim, "New approach to q-Euler polynomials of higher order", Russ. J. Math. Phys, 17(2), pp.218~225 (2010)
  17. T. Kim, "On the multiple q-Genocchi and Euler numbers", Russ. J. Math. Phys, 15(4), pp.481~486 (2008)
  18. T. Kim, "q-Volkenborn integration Russ", J. Math. Phys, 9(3), pp.288~299 (2002)
  19. T. Kim, "On Euler-Barnes multiple zeta functions", Russ. J. Math. Phys, 10(3), pp.261~267 (2003)
  20. T. Kim, "Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp", Russ. J. Math. Phys, 14(2), pp.160~163 (2007)
  21. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys, 23, pp.1~5 (2016)
  22. S. Roman, "The umbral calculus, Pure and Applied Mathematics", pp.10~193 (1984), Academic Press, Inc
  23. C. S. Ryoo, "Calculating zeros of the twisted Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.147~159 (2008), 장전수학회
  24. J. J. Seo, "Some symmetric identities of the modified q-Euler polynomials under symmetric group of degree four", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(2), pp.211~216 (2015), 장전수학회

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