[图书][B] Modern umbral calculus: an elementary introduction with applications to linear interpolation and operator approximation theory

FA Costabile - 2019 - books.google.com
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 …

Numerical solution of fourth-order BVPs by using Lidstone-collocation method

AA Moghadam, AR Soheili, AS Bagherzadeh - Applied Mathematics and …, 2022 - Elsevier
In this paper, a new method for solving fourth-order BVPs is presented. The method is based
on the first type Lidstone interpolating function. One of the greatest features of the Lidstone …

Lidstone-based collocation splines for odd-order BVPs

FA Costabile, MI Gualtieri, A Napoli - Mathematics and Computers in …, 2021 - Elsevier
A method is presented for the numerical solution of odd-order nonlinear boundary value
problems with complementary Lidstone boundary conditions. The approximate solution is …

Odd and even Lidstone-type polynomial sequences. Part 2: applications

FA Costabile, MI Gualtieri, A Napoli - Calcolo, 2020 - Springer
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 …

[HTML][HTML] General Odd and even central factorial polynomial sequences

FA Costabile, MI Gualtieri, A Napoli - Mathematics, 2022 - mdpi.com
The δ 2 (·) operator, where δ (·) is the known central difference operator, is considered. The
associated odd and even polynomial sequences are determined and their generalizations …

[HTML][HTML] Lidstone–Euler interpolation and related high even order boundary value problem

FA Costabile, MI Gualtieri, A Napoli - Calcolo, 2021 - Springer
Abstract We consider the Lidstone–Euler interpolation problem and the associated Lidstone–
Euler boundary value problem, in both theoretical and computational aspects. After a …

[HTML][HTML] Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools

FA Costabile, MI Gualtieri, A Napoli - Mediterranean Journal of …, 2021 - Springer
General nonlinear high odd-order differential equations with Lidstone–Euler boundary
conditions of second type are treated both theoretically and computationally. First, the …

[PDF][PDF] On transcendental entire functions with infinitely many derivatives taking integer values at two points

M Waldschmidt - Update, 2021 - webusers.imj-prg.fr
Given a subset S={s0, s1} of the complex plane with two points and an infinite subset S of S×
N, where N={0, 1, 2,...} is the set of nonnegative integers, we ask for a lower bound for the …

Odd and even -type Lidstone polynomial sequences

ZSI Mansour, MA Towailb - arXiv preprint arXiv:2109.01452, 2021 - arxiv.org
In this paper, we introduce two types of general classes of even and odd $ q $-Lidstone
polynomial sequences. We prove essential properties related to them like the matrix and …

De Gruyter Studies in Mathematics

N Fusco, Z Li, KH Neeb - degruyter.com
Karl H. Hofmann, Sidney A. Morris The Structure of Compact Groups Page 1 Karl H.
Hofmann, Sidney A. Morris The Structure of Compact Groups Page 2 De Gruyter Studies in …