Hermite Polynomials and their Applications Associated with Bernoulli and Euler Numbers

Dae San Kim, Taekyun Kim, Seog-Hoon Rim and Sang Hun Lee

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-13

Abstract:

We derive some interesting identities and arithmetic properties of Bernoulli and Euler polynomials from the orthogonality of Hermite polynomials. Let be the -dimensional vector space over . Then we show that is a good basis for the space for our purpose of arithmetical and combinatorial applications.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:974632

DOI: 10.1155/2012/974632

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