Sheffer sequences of polynomials and their applications

In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesting identities of several polynomialsComment: 10 page

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

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.Comment: 10 page

Some Identities on Laguerre Polynomials in Connection with Bernoulli and Euler Numbers

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 ∫⟨,⟩=∞0−2()()

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn