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Modern Umbral Calculus
An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory
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Francesco Aldo Costabile
Language:
English
Published/Copyright:
2019
About this book
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.
- Presents a novel approach to umbral calculus based on linear algebra
- Covers connections with interpolation and approximation theory
- Of interest to graduate students and researchers in analysis and numerical mathematics
Author / Editor information
Francesco Aldo Costabile, University of Calabria, Italy.
Topics
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I |
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VII |
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IX |
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XI |
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XV |
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Part I: Introduction
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3 |
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7 |
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Part II: Polynomial sequences of binomial type
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23 |
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41 |
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47 |
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Part III: Appell polynomial sequences
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77 |
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101 |
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107 |
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Part IV: Sheffer polynomial sequences
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149 |
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167 |
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175 |
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Part V: Lidstone polynomial sequences
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203 |
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217 |
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223 |
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245 |
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255 |
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 17, 2019
eBook ISBN:
9783110652925
Hardcover published on:
June 17, 2019
Hardcover ISBN:
9783110649963
Pages and Images/Illustrations in book
Front matter:
16
Coloured Illustrations:
30
Tables:
15
Audience(s) for this book
Graduate students and researchers in mathematics and computer science.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
