Some identities of higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus

被引:2
|
作者
Kim, Dae San [1 ]
Kim, Taekyun [2 ]
Dolgy, Dmitry V. [3 ]
Rim, Seog-Hoon [4 ]
机构
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
[3] Kwangwoon Univ, Seoul 139701, South Korea
[4] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea
关键词
Bernoulli polynomial; Euler polynomial; Abel polynomial;
D O I
10.1186/1029-242X-2013-211
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus to have alternative ways.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Some identities of higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
    Dae San Kim
    Taekyun Kim
    Dmitry V Dolgy
    Seog-Hoon Rim
    [J]. Journal of Inequalities and Applications, 2013
  • [2] Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
    Dae San Kim
    Taekyun Kim
    Dmitry V Dolgy
    Seog-Hoon Rim
    [J]. Advances in Difference Equations, 2013
  • [3] Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
    Kim, Dae San
    Kim, Taekyun
    Dolgy, Dmitry V.
    Rim, Seog-Hoon
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [4] Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
    Kim, Dae San
    Kim, Taekyun
    Lee, Sang-Hun
    Rim, Seog-Hoon
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [5] Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
    Dae San Kim
    Taekyun Kim
    Sang-Hun Lee
    Seog-Hoon Rim
    [J]. Advances in Difference Equations, 2013
  • [6] Higher-order Bernoulli, Euler and Hermite polynomials
    Kim, Dae San
    Kim, Taekyun
    Dolgy, Dmitry V.
    Rim, Seog-Hoon
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013, : 1 - 7
  • [7] Higher-order Bernoulli, Euler and Hermite polynomials
    Dae San Kim
    Taekyun Kim
    Dmitry V Dolgy
    Seog-Hoon Rim
    [J]. Advances in Difference Equations, 2013
  • [8] Some identities of Frobenius-Euler polynomials arising from umbral calculus
    Dae San Kim
    Taekyun Kim
    [J]. Advances in Difference Equations, 2012
  • [9] Some identities of Frobenius-Euler polynomials arising from umbral calculus
    Kim, Dae San
    Kim, Taekyun
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [10] SOME IDENTITIES OF POLYNOMIALS ARISING FROM UMBRAL CALCULUS
    Kim, Dae San
    Kim, Taekyun
    Rim, Seog-Hoon
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (02) : 293 - 306