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Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p
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Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p
Abstract
Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p
참고문헌 (12)
- 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
- 김대산, "Symmetry identities for generalized twisted Euler polynomials twisted by unramified roots of unity", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.303~316 (2012), 장전수학회[DOI]
- 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, "Symmetry properties of the generalized higher-order Euler polyno-mials", Proc. Jangeon Math. Soc, 13(1), pp.13~16 (2010)
- 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
- T. Kim, "Some identities of symmetry for the extended higher-order q-Bernoulli polynomials of the second kind", Int. J. Math. Anal. (Ruse), 8(1-4), pp.127~134 (2014)
- T. Kim, "On the identities of symme-try for the generalized Bernoulli polynomials attached to χ of higher-order", J. Inequal. Appl, pp.7~ (2009)
- T. Kim, "Symmetry properties of higher-order Bernoulli polynomials", Adv. Difference Equ, pp.6~ (2009)
- T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integrals on Zp", Russ. J. Math. Phys, 16(1), pp.93~96 (2009)
- T. Kim, "Symmetry p-adic invariant integrals on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl, 14(12), pp.1267~1277 (2008)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
- 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
관련 논문AI추천
Identities of symmetry for generalized q-Euler polynomials arising from multivariate fermionic -adic integral on Z_pD. S. Kim, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제4호SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호Revisit symmetric identities higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 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 CARLITZ'S q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE FOURT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호IDENTITIES OF SYMMETRY FOR MODIFIED CARLITZ'S q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE 4H. I. Kwon, J. J. Seo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호
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