Some identities on laguerre polynomials in connection with bernoulli and euler numbers

Abstract

We study some interesting identities and properties of Laguerre polynomials in connection with Bernoulli and Euler numbers. These identities are derived from the orthogonality of Laguerre polynomials with respect to inner product 〈 f, g 〉 = 0 ∞ e - x 2 f (x) g (x) d x. © 2012 Dae San Kim et al.