논문KCI 등재
p-adic q-integral on Zp associated with Frobenius-type Eulerian polynomials and umbral calculus
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In this paper, we give some interesting identities of Frobenius-type Eulerian polynomials associated with p-adic q-integral on Zp arising from umbral calculus.
Abstract
In this paper, we give some interesting identities of Frobenius-type Eulerian polynomials associated with p-adic q-integral on Zp arising from umbral calculus.
참고문헌 (12)
- S. Araci, "A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.399~406 (2012), 장전수학회
- S. Araci, "A study on the fermionic p-adic q-integral repre- sentation on Z p associated with weighted q-Bernstein and q-Genocchi polynomials", Abstr. Appl. Anal, pp.10~ (2011)
- L. Carlitz, "Some remarks on the Eulerian function, Univ. Beograd. Publ. Elektrotehn", Fak. Ser. Mat. Fiz, (602-633) (1978)
- 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
- J. Y. Kang, "On multiple interpolation functions of the q-Genocchi numbers and polynomials with weight α and weak weight β", Advanced Studies in Contemporary Mathematics, 22(3), pp.407~420 (2012), 장전수학회
- D. S. KIM, "Frobenius-type Eulerian polynomials and umbral calculus", Proceedings of the Jangjeon Math. Soc, 16(2), pp.115~130 (2013)
- D. S. Kim, "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
- T. Kim, "An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic p-adic invariant q-integrals on Z p", Rocky Mountain J. Math, 41(1), pp.239~247 (2011)
- T. Kim, "Symmetry p-adic invariant integral on Z p for Bernoulli and Euler polynomials", J. Difference Equ. Appl, 14(12), pp.1267~1277 (2008)
- T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear differential equations", J. Number Theory, 132(12), pp.2854~2865 (2012)
- T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Z p", Russ. J. Math. Phys, 16(4), pp.484~491 (2009)
- T. Kim, "New approach to q-Euler polynomials of higher order", Russ. J. Math. Phys, 17(2), pp.218~225 (2010)
관련 논문AI추천
A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호A note on the product of Frobenius-Euler ploynormials arising from the p-adic integral on Z_p최종성, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제2호A note on symmetric identities of the generalized Carlitz's type q-Euler polynomials of the first kind김태균, 서종진, 장유선, Dmitry V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제3호FROBENIUS-TYPE EULERIAN POLYNOMIALS AND UMBRAL CALCULUS김대산, 김태균, 임석훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호IDENTITIES OF SYMMETRY FOR DEGENERATE q-EULER POLYNOMIALSD. V. Dolgy, J. J. Seo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 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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