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SOME IDENTITIES FOR DEGENERATE EULER NUMBERS AND POLYNOMIALS ARISING FROM DEGENERATE BELL POLYNOMIALS
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Recently, degenerate Bell numbers and polynomials are intro- duced by Kim-Kim (see [4]). In this paper, we give some new identities for the degenerate Euler numbers and polynomials arising from degenerate Bell polynomials associated with the fermionic p-adic integral on Zp.
Abstract
Recently, degenerate Bell numbers and polynomials are intro- duced by Kim-Kim (see [4]). In this paper, we give some new identities for the degenerate Euler numbers and polynomials arising from degenerate Bell polynomials associated with the fermionic p-adic integral on Zp.
참고문헌 (12)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- DMITRY V. DOLGY, "On the modified degenerate Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.1~9 (2016), 장전수학회
- D. S. Kim, "Some identities of degenerate Euler polynomials arising from p-adic fermionic integrals on Zp", Integral Transforms Spec. Funct, 26(4), pp.295~302 (2015)
- Dae San Kim, "On degenerate Bell numbers and polynomials", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 111(2), pp.435~446 (2016), Springer Nature[DOI]
- 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
- D. S. Kim, "Some identities of Bell polynomials", Sci. China Math, 58(10), pp.2095~2104 (2015)
- D. S. Kim, "Fermionic p-adic integrals on Zp and umbral calculus", J. Comput. Anall. Apple, 16(5), pp.860~868 (2014)
- T. Kim, "An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic p-adic invariant q-integrals on Zp", Rocky Mountain J. Math, 41(1), pp.239~247 (2011)
- T. Kim, "Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp", Russ, J. Math. Phys, 14(2), pp.160~163 (2007)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
- T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on Zp", Russ. J. Math. Phys, 16(1), pp.93~96 (2009)
- 권혁인, "Modified degenerate Euler polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.203~209 (2016), 장전수학회
관련 논문AI추천
A note on degenerate Bell numbers and polynomials associated with p-adic integral on Zp권혁인, 김태균, 서종진, DMITY V. DOLGY장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호SOME NEW IDENTITIES OF SYMMETRY FOR MODIFIED DEGENERATE EULER POLYNOMIALS권혁인, 김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호Modified degenerate Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호Some identities of degenerate Genocchi polynomials임동규대한수학회 · 대한수학회보2016 · 제53권 제2호EXPANSIONS OF DEGENERATE q-EULER NUMBERS AND POLYNOMIALS권혁인, 김태균, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호SOME IDENTITIES OF DEGENERATE FROBENIUS-EULER POLYNOMIALS AND NUMBERS권혁인, 김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제1호
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