Modern Umbral Calculus
Download or Read eBook Modern Umbral Calculus PDF written by Francesco Aldo Costabile and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 275 pages. Available in PDF, EPUB and Kindle.
Author | : Francesco Aldo Costabile |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 275 |
Release | : 2019-06-17 |
ISBN-10 | : 9783110650099 |
ISBN-13 | : 3110650096 |
Rating | : 4/5 (99 Downloads) |
Book Synopsis Modern Umbral Calculus by : Francesco Aldo Costabile
Book excerpt: 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.