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IDENTITIES OF SYMMETRY FOR DEGENERATE q-EULER POLYNOMIALS
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In this paper, we study some identities of symmetry for degenerate q-Euler polynomials which are derived from the properties of symmetry for the fermionic p-adic q-integral on Zp.
Abstract
In this paper, we study some identities of symmetry for degenerate q-Euler polynomials which are derived from the properties of symmetry for the fermionic p-adic q-integral on Zp.
참고문헌 (8)
- 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-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys., 14(1), pp.15~27 (2007)
관련 논문AI추천
SYMMETRY IDENTITIES OF DEGENERATE EULER POLYNOMIALST. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 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 제4호SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호SOME 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 the higher-order Carlitz's degenerate q-Euler polynomials under the symmetry group of degree 3권혁인, 김태균, DMITRY V. DOLGY장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호Identities of symmetry for (h,q)-extensions of generalized higher-order Euler polynomials김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호
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