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SOME IDENTITIES OF THE DEGENERATE CHANGHEE NUMBERS OF SECOND KIND ARISING FROM DIFFERENTIAL EQUATIONS

이진호|권종겸|장관우|정세교
장전수학회 (Jangjeon Mathematical Society)|2018.10|Advanced Studies in Contemporary Mathematics|제28권 제4호|pp. 577-588|DOI http://dx.doi.org/10.17777/ascm2017.28.4.577

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참고문헌

키워드

differential equationsdegenerate Changhee numbers of second kind
주제분류수학

초록

In this paper, we study the degenerate Changhee numbers of sec- ond kind and derive a family of di erential equations satis ed by the generating function of these numbers. As an immediate application, we derive an identity expressing the higher-order degenerate Changhee numbers of second kind in terms of the degenerate Changhee numbers of second kind.

Abstract

In this paper, we study the degenerate Changhee numbers of sec- ond kind and derive a family of di erential equations satis ed by the generating function of these numbers. As an immediate application, we derive an identity expressing the higher-order degenerate Changhee numbers of second kind in terms of the degenerate Changhee numbers of second kind.

참고문헌 (17)

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  2. 장관우, "REVISIT OF IDENTITIES FOR DAEHEE NUMBERS ARISING FROM NONLINEAR DIFFERENTIAL EQUATIONS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(2), pp.163~177 (2017), 장전수학회[DOI]
  3. 장관우, "Degenerate Changhee numbers and polynomials of the second kind", Advanced Studies in Contemporary Mathematics, 27(4), pp.609~624 (2017), 장전수학회[DOI]
  4. 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
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  8. T. Kim, "Some identities of degenerate Daehee numbers arising from certain differential equations", J. Nonlinear Sci. and Appl., 10, pp.744~751 (2017)[DOI]
  9. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys., 23, pp.88~92 (2016)[DOI]
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  13. 김태균, "Revisit nonlinear differential equations arising from the generating functions of degenerate Bernoulli numbers", Advanced Studies in Contemporary Mathematics, 26(3), pp.401~406 (2016), 장전수학회
  14. H. I. Kwon, "A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(3), pp.295~305 (2015), 장전수학회
  15. H. I. Kwon, "A note on Daehee numbers arising from differential equations", Glob. J. Pure and Appl. Math., 12(3), pp.2349~2354 (2016)
  16. J. K. Kwon, "Some identities involving Changhee polynomials arising from a differential equations", Glob. J. Pure and Appl. Math., 12(6), pp.4857~4866 (2016)
  17. T. Kim, "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys., 24(2), pp.241~248 (2017)[DOI]

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