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A note on degenerate Eulerian numbers and polynomials
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In this paper, we study the degenerate Eulerian polynomials and numbers and give some new and interesting identities associated with several special numbers and polynomials.
Abstract
In this paper, we study the degenerate Eulerian polynomials and numbers and give some new and interesting identities associated with several special numbers and polynomials.
참고문헌 (12)
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- D. S. Kim, "A note on Eulerian polynomials", pp.10~ (2012), ID 269640
- 김대산, "FROBENIUS-TYPE EULERIAN POLYNOMIALS AND UMBRAL CALCULUS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(2), pp.285~292 (2013), 장전수학회
- 김태균, "DEGENERATE ORDERED BELL NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(2), pp.137~144 (2017), 장전수학회[DOI]
- T. Kim, "Some identities of Eulerian polynomials arising from nonlinear differ-ential equations", Iran. J. Sci. Technol (2016)[DOI]
- 김택연, "A note on degenerate stirling polynomials of the second kind", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.319~332 (2017), 장전수학회[DOI]
- 김택연, "Extended stirling polynomials of the second kind and extended Bell polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.365~376 (2017), 장전수학회[DOI]
- A. Knopfmacher, "Some arithmetic properties of Eulerian numbers", J. Combin. Math. Combin. Comput, 36, pp.31~42 (2001)
- I. Mezo, "A kind of Eulerian numbers connected to Whitney numbers of Dowling lattices", Discrete Math, 328, pp.88~95 (2014)
- S. Roman, "The umbral calculus, Pure and Applied Mathematics" (1984), Academic Press
- S. Tanimoto, "A study of Eulerian numbers by means of an operator on permutations", European J. Combin, 24(1), pp.33~43 (2003)
관련 논문AI추천
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