Modern Umbral Calculus

An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory
1. Auflage 2019
ISBN: 978-3-11-064996-3
Verlag: De Gruyter

Buch, Englisch, Band 72, 16 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 652 g

Reihe: De Gruyter Studies in Mathematics

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 Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials.

Zielgruppe

Graduate students and researchers in mathematics and computer sci

Autoren/Hrsg.

Costabile, Francesco Aldo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Über Autor(innen)

Francesco Aldo Costabile , University of Calabria, Italy.