논문KCI 등재
ON THE SYMMETRIC IDENTITIES OF MODIFIED DEGENERATE BERNOULLI POLYNOMIALS
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참고문헌
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초록
Recently, Dolgy-Kim-Kwon-Seo introduced the modified de- generate Bernoulli polynomials which are different from Carlitz's degener- ate Bernoulli polynomials(see [5]). In this paper, we investigate some sym- metric identities for the modified degenerate Bernoulli polynomials arising from p-adic invariant integral on Zp.
Abstract
Recently, Dolgy-Kim-Kwon-Seo introduced the modified de- generate Bernoulli polynomials which are different from Carlitz's degener- ate Bernoulli polynomials(see [5]). In this paper, we investigate some sym- metric identities for the modified degenerate Bernoulli polynomials arising from p-adic invariant integral on Zp.
참고문헌 (20)
- Bayad, "IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(2), pp.247~253 (2010), 장전수학회
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- L. Carlitz, "A degenerate Staudt- Clausen theorem", Arch. Math.(Basel), 7, pp.28~33 (1956)
- Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
- DMITRY V. DOLGY, "On the modified degenerate Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 26(1), pp.1~9 (2016), 장전수학회
- 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
- S. Gaboury, "Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.115~123 (2014), 장전수학회
- 강동진, "ON THE TWISTED WEAK WEIGHT q-BERNOULLI POLYNOMIALS AND NUMBERS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(2), pp.195~201 (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
- 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
- 김대산, "Some arithmetic properties of Bernoulli and Euler numbers", Advanced Studies in Contemporary Mathematics, 22(4), pp.467~480 (2012), 장전수학회
- 김대산, "A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.379~389 (2012), 장전수학회[DOI]
- G. Kim, "The DC algorithm for computing sums of powers of consecutive integers and Bernoulli numbers", Advanced Studies in Contemporary Mathematics, 17(2), pp.137~145 (2008), 장전수학회
- T. Kim, "Bernoulli polynomials of the second kind and their identities arising from umbral calculus", J. Nonlinear Sci. Appl, 9, pp.860~869 (2016)
- T. Kim, "Symmetric identities for degenerate generalized Bernoulli polynomials", J. Nonlinear Sci. Appl, 9, pp.677~683 (2016)
- 김태균, "SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(1), pp.23~28 (2010), 장전수학회
- J. W. Park, "On the modified -Bernoulli polynomials with weight", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(2), pp.231~236 (2014), 장전수학회
- 박진우, "New approach to -Bernoulli polynomials with weight or weak weight", Advanced Studies in Contemporary Mathematics, 24(1), pp.39~44 (2014), 장전수학회
- J.-J. SEO, "q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_p", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.321~326 (2013), 장전수학회
- Z. Zhang, "Some closed formulas for generalizations of Bernoulli and Euler numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 11(2), pp.191~198 (2008), 장전수학회
관련 논문AI추천
SOME NEW IDENTITIES OF SYMMETRY FOR MODIFIED DEGENERATE EULER POLYNOMIALS권혁인, 김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALSH-I Kwon, J. J. Seo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 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 제4호Modified degenerate Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호
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