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IDENTITIES OF MODIFIED GENERALIZED q-BERNOULLI POLYNOMIALS UNDER S5
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In this paper, we give some symmetric identities for the modified generalized q-Bernoulli polynomials under the symmetric group of degree five.
Abstract
In this paper, we give some symmetric identities for the modified generalized q-Bernoulli polynomials under the symmetric group of degree five.
참고문헌 (8)
- L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
- E. Deeba, "Stirling's series and Bernoulli numbers", Amer. Math. Monthly, 98(5), pp.423~426 (1991)
- 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
- T. Kim, "An identity of generalized q-Bernoulli polynomials of the second kind under the Dihedral group D3", Int. J. Math. Analysis, 8, pp.1487~1493 (2014)
- T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomails", J. Defference Equ. Appl., 14(12), pp.1267~1277 (2008)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
- T. Kim, "On explicit formulas of p-adic q-L-functions", Kyusyu J. Math., 48(1), pp.73~86 (1994)
- J. J. Seo, "Identities of symmetry for modified Carlitz's q-Bernoulli polynomials under symmetric group of degree 4", Advanced Studies in Contemporary Mathematics, 25(2), pp.195~200 (2015), 장전수학회
관련 논문AI추천
SOME NEW IDENTITIES OF SYMMETRY FOR THE MODIFIED GENERALIZED q-EULER POLYNOMIALS UNDER S5J.-J. SEO, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호SYMMETRIC IDENTITIES OF HIGHER-ORDER CARLITZ'S q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE FOURT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호SYMMETRIC IDENTITIES INVOLVING WEIGHTED q-GENOCCHI POLYNOMIALS UNDER S4M. Acikgoz, S. Araci, U. Duran장전수학회 · 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 제4호Revisit symmetric identities higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호SOME SYMMETRIC IDENTITIES OF THE MODIFIED q-EULER POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE FOUR김태균, J. J. Seo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제2호
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