Modern Umbral Calculus: An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory
Jun 2019 · De Gruyter Studies in Mathematics Book 72 · Walter de Gruyter GmbH & Co KG
Ebook
16
Pages
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About this ebook
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.
About the author
Francesco Aldo Costabile, University of Calabria, Italy.
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