A note on higher-order Bernoulli polynomials

Let P n = { p ( x ) ∈ Q [ x ] | deg p ( x ) ≤ n } be the ( n + 1 ) -dimensional vector space over Q . From the property of the basis B 0 ( r ) , B 1 ( r ) , … , B n ( r ) for the space P n , we derive some interesting identities of higher-order Bernoulli polynomials.

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Bibliographic Details
Published in:Journal of inequalities and applications 2013-03, Vol.2013 (1), p.111-111, Article 111
Main Authors: Kim, Dae San, Kim, Taekyun
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Proceedings of the Conference 2012 on Mathematical Inequalities and Nonlinear Functional Analysis with Applications
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Summary:Let P n = { p ( x ) ∈ Q [ x ] | deg p ( x ) ≤ n } be the ( n + 1 ) -dimensional vector space over Q . From the property of the basis B 0 ( r ) , B 1 ( r ) , … , B n ( r ) for the space P n , we derive some interesting identities of higher-order Bernoulli polynomials.
ISSN:1029-242X
1029-242X
DOI:10.1186/1029-242X-2013-111