This book presents a novel approach to umbral calculus, which uses only elementary linear
algebra (matrix calculus) based on the observation that there is an isomorphism between …

A matrix approach to Sheffer polynomial sequences is proposed; in particular, two different
determinantal forms of Sheffer sequences are given, the one as the function of a polynomial …

A general linear interpolation problem is considered. We will call it the Appell interpolation
problem because the solution can be expressed by a basis of Appell polynomials. Some …

The present paper contains a small survey on the principal and elementary methods for a
systematic study of general polynomial sequences. For the set of polynomial sequences the …

A method is presented for the numerical solution of odd-order nonlinear boundary value
problems with complementary Lidstone boundary conditions. The approximate solution is …

Two new general classes of polynomial sequences called respectively odd and even
Lidstone-type polynomials are considered. These classes include classic Lidstone …

In this paper we consider some applications of Odd and Even Lidstone-type polynomial
sequences. In particular we deal with the Odd and Even Lidstone-type and the Generalized …

Abstract We consider the Lidstone–Euler interpolation problem and the associated Lidstone–
Euler boundary value problem, in both theoretical and computational aspects. After a …

For polynomial sequence of binomial type we propose a new recurrence formula equivalent
to a determinantal form of the sequence, from which known and unknown properties are …

A class of polynomials L k (x), k= 1, 2,… of degree 2 k satisfying the differential equation L
″k (x)= L k− 1 (x) and the initial condition L′ k (0)= 0 is introduced. A relationship with a …