논문KCI 등재
ON THE IDENTITIES OF SYMMETRY FOR DEGENERATE BERNOULLI POLYNOMIALS OF ORDER r
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In this paper, we give some interesting identities of symmetry for degenerate Bernoulli polynomials of order r which are derived from the symmetric properties of the multivariate p-adic invariant integral on Zp.
Abstract
In this paper, we give some interesting identities of symmetry for degenerate Bernoulli polynomials of order r which are derived from the symmetric properties of the multivariate p-adic invariant integral on Zp.
참고문헌 (8)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math., 15, pp.51~88 (1979)
- D. S. Kim, "A note on degenerate Bernoulli numbers and polynomials associated with p-adic invariant integral on Zp", Appl. Math. Comput., 259, pp.198~204 (2015)
- 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
- 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (II)", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.359~378 (2013), 장전수학회
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
- T. Kim, "Barnes' type multiple degenerate Bernoulli and Euler polynomials", Appl. Math. Comput., 258, pp.556~564 (2015)
- T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials", J. Diffierence Equ. Appl., 14(12), pp.1267~1277 (2008)
- 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)
관련 논문AI추천
SYMMETRIC IDENTITIES OF DEGENERATE BERNOULLI POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALSH-I Kwon, J. J. Seo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호SYMMETRY IDENTITIES OF DEGENERATE EULER POLYNOMIALST. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호IDENTITIES OF SYMMETRY FOR DEGENERATE q-EULER POLYNOMIALSD. V. Dolgy, J. J. Seo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호SOME IDENTITIES OF SYMMETRY FOR DAEHEE POLYNOMIALS ARISING FROM p-ADIC INVARIANT INTEGRAL ON Zp김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호
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