본문 바로가기
KERD
논문KCI 등재

FROBENIUS-TYPE EULERIAN POLYNOMIALS AND UMBRAL CALCULUS

김태균|김대산|임석훈
장전수학회 (Jangjeon Mathematical Society)|2013.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제16권 제2호|pp. 285-292|DOI 10.17777/pjms.2013.16.2.014

0

조회

0

다운로드

2

인용

0

참고문헌

키워드

Frobenius-type Eulerian polynomialUmbral calculus
주제분류수학

초록

In this paper, we define and study some properties of FrobeniustypeEulerian polynomials arising from umbral calculus. From our resultsfor the properties of Frobenius-type Eulerian polynomials, we derivemany interesting identities about Frobenius-type Eulerian polynomials.

Abstract

In this paper, we define and study some properties of FrobeniustypeEulerian polynomials arising from umbral calculus. From our resultsfor the properties of Frobenius-type Eulerian polynomials, we derivemany interesting identities about Frobenius-type Eulerian polynomials.

참고문헌 (18)

  1. L. Carlitz, "Eulerian numbers and polynomials of higher order", Duke Math. J., 27, pp.401~423 (1960)
  2. L. Carlitz, "Eulerian numbers and polynomials of higher order", Math. Mag., 32, pp.274~260 (1958)
  3. B. Diarra, "Ultrametric umbral calculus in characteristic p", Bull. Belg. Math. Soc. Simon Stevin, 14, pp.845~869 (2007)
  4. Thomas Ernst, "Examples of a q-umbral calculus", Advanced Studies in Contemporary Mathematics, 16(1), pp.1~22 (2008), 장전수학회
  5. Q. Fang, "Umbral calculus and invariant sequences", Ars Combin., 101, pp.257~264 (2011)
  6. 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
  7. D. S. Kim, "Frobenius-Euler polynomials and umbral calculus in the p-adic case", Adv. Difference Equ, 2012, pp.222~ (2012)
  8. D. S. Kim, "Some new identities of Frobenius-Euler numbers and polynomials", J. of Inequ. and Appl., 2012, pp.307~ (2012)
  9. D. S. Kim, "Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp", Abstract and Applied Analysis, 2012, pp.12~ (2012)
  10. D. S. Kim, "Some identities of Frobenius-Euler polynomials arising from umbral calculus", Adv. Difference Equ., 2012, pp.196~ (2012)
  11. D. S. Kim, "Some identities for the product of two Bernoulli and Euler polynomials", Adv. Difference Equ, 95, pp.14~ (2012)
  12. T. Kim, "Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials", Adv. Difference Equ., 201 (2012)
  13. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys., 16(4), pp.484~491 (2009)
  14. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear differential equations", J. Number Theory, 132(1), pp.2854~2865 (2012)
  15. T. Kim, "An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic p-adic invariant q-integrals on Zp", Rocky Mountain J. Math., 41(1), pp.239~247 (2011)
  16. T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl., 14(12), pp.1267~1277 (2008)
  17. S. Roman, "More on the umbral calculus, with emphasis on the q-umbral calculus", J. Math. Anal. Appl., 107, pp.222~254 (1985)
  18. S. Roman, "The umbral calculus" (2005), Dover Publ. Inc

관련 논문AI추천

p-adic q-integral on Zp associated with Frobenius-type Eulerian polynomials and umbral calculusD.S. Kim, H.Y. Lee, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호Some identities of Bernoulli and Euler polynomials arising form umbral calculus김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호Some identities of Frobenius-Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호IDENTITIES INVOLVING TOUCHARD POLYNOMIALS DERIVED FROM UMBRAL CALCULUSO. Herscovici, T. Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호SOME FORMULAS OF ORDERED BELL NUMBERS AND POLYNOMIALS ARISING FROM UMBRAL CALCULUS김대산, 김택연, 장광우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호SOME IDENTITIES INVOLVING FROBENIUS-EULER POLYNOMIALS AND NUMBERS김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제1호

이 간행물의 다른 논문 (14건)

ON THE TWISTED WEAK q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT 0박진우, 진정희, 정주희, 임석훈pp. 157-164STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS최성규, 강보원, 구남집pp. 165-174THE CONVOLUTION SUM서경식, 김대열, 김애란pp. 175-180NEW METRICS ARISING FROM MATROIDS OF LINEAR CODES김동찬, 김대산, 현종윤pp. 181-193ON THE TWISTED WEAK WEIGHT q-BERNOULLI POLYNOMIALS AND NUMBERS강동진, 박진우, 임석훈, 이선정pp. 195-201
원문 보기