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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.30 No.1
- 발행연도
- 2020.1
- 수록면
- 145 - 154 (10page)
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Recently many interesting works are done on the degenerate Bell polynomials, which are intiated by T. Kim and D. S. Kim. And later T. Kim et al. studied on the partially degenerate Bell polynomials. Also D. V. Dolgy et al. de ned and studied fully degenerate Bell polynomials. Recently, S. Pyo and T. Kim studied some identities on the fully degenerate Belly polynomials by using di erential equations. In the paper, we consider new denenerating approach to the Bell polynomials which is called fully degenerate Bell polynomials of the second kind. We study some identities from the generating function and specially by using the di erential equations on those polynomials. We derive some identities of our fully degenerate Bell polynomials of the second kind, which related with higher order Daehee polynomials and higher order Bernoulli numbers.
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참고문헌 (17)
참고문헌 신청
E. T. Bell / 1934 / Exponential polynomials / Ann. of Math 35(2):285~277
J. Brillhart / 1967 / Mathematical Notes : Note on the single variable Bell polynomials / Amer. Math. Monthly 74(6):695~696
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
L. Carlitz / 1965 / Some arithmetic properties of the Bell polynomials / Bull. Amer. Math. Soc 71:143~144
L. Carlitz / 1966 / Arithmetic properties of the Bell polynomials / J. Math. Anal. Appl 15:33~52
J. Brillhart / 1967 / Mathematical Notes : Note on the single variable Bell polynomials / Amer. Math. Monthly 74(6):695~696
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
L. Carlitz / 1965 / Some arithmetic properties of the Bell polynomials / Bull. Amer. Math. Soc 71:143~144
L. Carlitz / 1966 / Arithmetic properties of the Bell polynomials / J. Math. Anal. Appl 15:33~52
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