논문KCI 등재
IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALS
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In this paper, we give symmetric identities for the degenerate Carlitz q-Bernoulli polynomials which are derived from p-adic q-integral on Zp.
Abstract
In this paper, we give symmetric identities for the degenerate Carlitz q-Bernoulli polynomials which are derived from p-adic q-integral on Zp.
참고문헌 (9)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math., 15, pp.51~88 (1979)
- L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Math. Soc., 76, pp.332~350 (1954)
- D. V. Dolgy, "Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(4), pp.645~650 (2014), 장전수학회
- D. S. Kim, "Some identities of degenerate special polynomials", Open Math., 13, pp.380~389 (2015)
- D. S. Kim, "Some identities of degenerate Euler polynomials arising from p-adic fermionic integral on Zp", Integral Trans. Spec. Funct., 26(4), pp.295~302 (2015)
- D. S. Kim, "Symmetry identities of q-Bernoulli polynomials of the second kind", Indian J. Pure Appl. Math., 46(1), pp.85~90 (2015)
- 김대산, "Identities of symmetry for higher-order Euler polynomials in three variables (I)", Advanced Studies in Contemporary Mathematics, 22(1), pp.51~74 (2012), 장전수학회
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
- 김태균, "On degenerate $q$-Bernoulli polynomials", 대한수학회보, 53(4), pp.1149~1156 (2016), 대한수학회
관련 논문AI추천
SYMMETRIC 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 제4호SYMMETRIC IDENTITIES OF DEGENERATE BERNOULLI POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호ON THE IDENTITIES OF SYMMETRY FOR DEGENERATE BERNOULLI POLYNOMIALS OF ORDER r김태균, D. V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호On degenerate $q$-Bernoulli polynomials김태균대한수학회 · 대한수학회보2016 · 제53권 제4호HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호
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