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Polynomial Sequences
Basic Methods, Special Classes, and Computational Applications
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Francesco Aldo Costabile
Language:
English
Published/Copyright:
2024
About this book
Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the various
branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.
branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.
- Presents the latest developments in polynomial sequences
- Provides a simple and systematic treatment, that will appeal to readers .
- Can be used as a tool for reseachers or in advanced graduate courses.
Author / Editor information
Francesco Aldo Costabile, Maria Italia Gualtieri and Anna Napoli, University of Calabria, Italy.
Topics
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I |
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VII |
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XI |
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Part I: Basic methods
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1 |
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5 |
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56 |
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97 |
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117 |
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129 |
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143 |
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Part II: Special classes of polynomial sequences
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155 |
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157 |
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207 |
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238 |
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293 |
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310 |
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Part III: Computational applications
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359 |
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361 |
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390 |
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430 |
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463 |
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485 |
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487 |
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503 |
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 18, 2023
eBook ISBN:
9783110757248
Hardcover published on:
December 18, 2023
Hardcover ISBN:
9783110757231
Pages and Images/Illustrations in book
Front matter:
18
Main content:
508
Illustrations:
48
Tables:
47
Keywords for this book
Polynomial sequences; Numerical Analysis; Infinitesimal calculus; Real-valued function
Audience(s) for this book
Researchers and graduate students in mathematics.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
