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MODIFIED DEGENERATE DAEHEE NUMBERS AND POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATIONS

임동규
장전수학회 (Jangjeon Mathematical Society)|2018.07|Advanced Studies in Contemporary Mathematics|제28권 제3호|pp. 497-506|DOI http://dx.doi.org/10.17777/ascm2017.28.3.497

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참고문헌

키워드

differential equationModified degenerate Daehee numberModified degenerate Daehee polynomial
주제분류수학

초록

In the paper, the author considers differential equations arising from modified degen- erate Daehee numbers and polynomials. Along the idea of Kwon et al., we derive some explicit identities for the modified degenerate Daehee numbers and polynomials which are derived from differential equations.

Abstract

In the paper, the author considers differential equations arising from modified degen- erate Daehee numbers and polynomials. Along the idea of Kwon et al., we derive some explicit identities for the modified degenerate Daehee numbers and polynomials which are derived from differential equations.

참고문헌 (21)

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  2. L. Carlitz, "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)[DOI]
  3. DMITRY V. DOLGY, "On the modified degenerate Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.1~9 (2016), 장전수학회
  4. B. S. El-Desouky, "New results on higher-order Daehee and Bernoulli numbers and polynomials", Adv. Difference Equ., 2016, pp.32~ (2016)[DOI]
  5. D. S. Kim, "Daehee numbers and polynomials", Appl. Math. Sci. (Ruse), 7(117-120), pp.5969~5976 (2013)
  6. D. S. Kim, "Identities arising from higher-order Daehee polynomial bases", Open Math., 13, pp.196~208 (2015)
  7. 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
  8. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear differential equations", J. Number Theory, 132(12), pp.2854~2865 (2012)[DOI]
  9. T. Kim, "Differential eqnations for Changhee polynomials and their applications", J. Nonlinear Sci. Appl., 9(5), pp.2857~2864 (2016)[DOI]
  10. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys., 23(1), pp.88~92 (2016)[DOI]
  11. T. Kim, "Some identities of degenerate Daehee numbers arising from certain differential equations", J. Nonlinear Sci. Appl., 10(2), pp.744~741 (2017)[DOI]
  12. H. I. Kwon, "A note on Daehee numbers arising from differential equations", Global Journal of Pure and Applied Mathematics, 12(3), pp.2349~2354 (2016)
  13. 권혁인, "Modified degenerate Euler polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.203~209 (2016), 장전수학회
  14. J. G. Lee, "On modified degenerate Carlitz q-Bernoulli numbers and polynomials", Adv. Difference Equ., 2017, pp.22~ (2017)[DOI]
  15. J. G. Lee, "The modified degenerate q-Bernoulli polynomials arising from p-adic invariant integral on <TEX>$\mathbb{Z}_p$<", TEX>, 2017, pp.2017, 29~
  16. D. Lim, "Degenerate, partially degenerate and totally degenerate Daehee numbers and polynomials", Adv. Difference Equ., 2015, pp.287~ (2015)[DOI]
  17. D. Lim, "Differential equations for Daehee polynomials and their applications", J. Nonlinear Sci. Appl., 10(4), pp.1303~1315 (2017)[DOI]
  18. G. D. Liu, "Degenerate Bernoulli numbers and polynomials of higher order", J. Math. (Wuhan), 25(3), pp.283~288 (2015)
  19. 문은정, "A NOTE ON THE GENERALIZED q-DAEHEE NUMBERS OF HIGHER ORDER", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(4), pp.557~565 (2014), 장전수학회
  20. J. J. Seo, "Sums products of generalized Daehee numbers", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.1~9 (2014), 장전수학회
  21. Yilmaz Simsek, "Apostol type Daehee numbers and polynomials", Advanced Studies in Contemporary Mathematics, 26(3), pp.555~566 (2016), 장전수학회

관련 논문AI추천

REVISIT OF IDENTITIES FOR DAEHEE NUMBERS ARISING FROM NONLINEAR DIFFERENTIAL EQUATIONS김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호SOME IDENTITIES OF THE DEGENERATE CHANGHEE NUMBERS OF SECOND KIND ARISING FROM DIFFERENTIAL EQUATIONS권종겸, 이진호, 장관우, 정세교장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호Some identities of the partially degenerate Changhee-Genocchi polynomials and numbers권종겸, 김윤재, 손교용, 이정곤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND권혁인, 김대산, 김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호Some identities of fully degenerate bell polynomials arising from differential equations김태균, 표성수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호Some identities of partially degenerate Bell polynomials arising from differential equations김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호

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