Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus

Advances in Difference Equations

Seog-Hoon Rim¹  Taekyun Kim²  Dae San Kim³  Dmitry V Dolgy⁴ 

[1] Department of Mathematics Education, Kyungpook National University, Taegu, Republic of Korea;Department of Mathematics, Kwangwoon University, Seoul, Republic of Korea;Department of Mathematics, Sogang University, Seoul, Republic of Korea;Hanrimwon, Kwangwoon University, Seoul, Republic of Korea

关键词: Bernoulli polynomial;    Euler polynomial;    Abel polynomial;   

DOI  :  10.1186/1687-1847-2013-73

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler polynomials from the orthogonality of Hermite polynomials. Finally, we give some interesting and new identities of several special polynomials arising from umbral calculus. MSC: 05A10, 05A19.

【 授权许可】

CC BY