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SOME IDENTITIES OF DERANGEMENT NUMBERS ARISING FROM DIFFERENTIAL EQUATIONS

김태균|장관우|권혁인
장전수학회 (Jangjeon Mathematical Society)|2018.01|Advanced Studies in Contemporary Mathematics|제28권 제1호|pp. 73-82|DOI http://dx.doi.org/10.17777/ascm2017.28.1.73

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참고문헌

키워드

generating functionderangement numbersdifferential equation
주제분류수학

초록

Recently, several authors have studied derangement numbers, which are related to second kind of stirling numbers and bell numbers (see [5]). In this paper, we derive the differential equation arising from the generating function of derangement numbers and we give some identities of derangement numbers which are derived from our differential equations.

Abstract

Recently, several authors have studied derangement numbers, which are related to second kind of stirling numbers and bell numbers (see [5]). In this paper, we derive the differential equation arising from the generating function of derangement numbers and we give some identities of derangement numbers which are derived from our differential equations.

참고문헌 (15)

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  3. G. W. Jang, "Some identities of degenerate Daehee numbers arising from nonlinear differential equation", Adv. Difference Equ., pp.206~ (2017)
  4. 장관우, "Some identities of ordered Bell numbers arising from differential equation", Advanced Studies in Contemporary Mathematics, 27(3), pp.385~398 (2017), 장전수학회[DOI]
  5. T. Kim, "Some identities of derangement numbers"
  6. T. Kim, "Fourier series of r-derangement and higher-order derangement functions"
  7. 김태균, "λ-analogue of stirling numbers of the first kind", Advanced Studies in Contemporary Mathematics, 27(3), pp.423~429 (2017), 장전수학회[DOI]
  8. 김대산, "Revisit nonlinear differential equations associated with Eulerian polynomials", 대한수학회보, 54(4), pp.1185~1194 (2017), 대한수학회
  9. 김태균, "NONLINEAR DIFFERENTIAL EQUATIONS AND LEGENDRE POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(1), pp.61~72 (2017), 장전수학회[DOI]
  10. T. Kim, "Nonlinear differential equations arising from Boole numbers and their applications", Filomat, 31(8), pp.2441~2448 (2017)[DOI]
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  13. 강동진, "A note on the Bernoulli polynomials arising from a non-linear differential equation", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(1), pp.37~43 (2013), 장전수학회
  14. Yan Sun, "Multiple positive solutions of a class of second-order nonlinear differential equations on the half-line", Advanced Studies in Contemporary Mathematics, 21(1), pp.73~84 (2011), 장전수학회
  15. C. Wang, "The r-derangement numbers", Discrete Math., 340(7), pp.1681~1692 (2017)[DOI]

관련 논문AI추천

Some identities of ordered Bell numbers arising from differential equation김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호Some identities of partially degenerate Bell polynomials arising from differential equations김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호SOME IDENTITIES OF DERANGEMENT NUMBERS권종겸, 김대산, 김태균, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호DEGENERATE ORDERED BELL NUMBERS AND POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호Some identities of fully degenerate bell polynomials arising from differential equations김태균, 표성수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호DIFFERENTIAL EQUATIONS ARISING FROM STIRLING POLYNOMIALS AND APPLICATIONS권혁인, 김대산, 김태균, 서종진, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호

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