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Some identities of ordered Bell numbers arising from differential equation

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In this paper, we study the methods for finding the solutions of differential equations which are derived from the generating functions of ordered Bell numbers. In addition, we give some new and interesting identities of ordered Bell numbers arising from differential equations.

Abstract

In this paper, we study the methods for finding the solutions of differential equations which are derived from the generating functions of ordered Bell numbers. In addition, we give some new and interesting identities of ordered Bell numbers arising from differential equations.

참고문헌 (8)

  1. A. Bayad, "Higher recurrences for Apostol-Bernoulli-Euler numbers", Russ. J. Math. Phys, 19(1), pp.1~10 (2012)
  2. B. S. EI-Desouky, "New results on higher-order Daehee and Bernoulli numbers and polynomials", Adv. Difference Equ., 2016(32), pp.21~ (2016)
  3. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys., 23(1), pp.88~92 (2016)
  4. T. Kim, "Differential equations for (p,q)-Touchard polynomials", Open Math., 14, pp.908~912 (2016)
  5. 김태균, "DIFFERENTIAL EQUATIONS ARISING FROM STIRLING POLYNOMIALS AND APPLICATIONS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(2), pp.199~212 (2016), 장전수학회
  6. H. I. Kwon, "A note on Daehee numbers arising from differential equa-tions", Global Journal of Pure and Applied Mathematics, 12(3), pp.2349~2354 (2016)
  7. 서종진, "SOME IDENTITIES OF SYMMETRY FOR DAEHEE POLYNOMIALS ARISING FROM p-ADIC INVARIANT INTEGRAL ON Zp", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(2), pp.285~292 (2016), 장전수학회
  8. P. Trojovsk, "On a triangular inversion formula, its application and ordered Bell numbers", Int. J. Pure Appl. Math., 28(2), pp.149~160 (2006)

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