Polynomial Sequences

Basic Methods, Special Classes, and Computational Applications

Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli

• Publisher: De Gruyter
• Year: 2023
• eBook ISBN: 9783110757323
• Edition: 1
• Topic: Mathematics
• Subtopic: Mathematical Analysis
• Index: Mathematics

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.

Table of contents

• Title Page
• Copyright
• Contents
• Preface
• Part I Basic methods
• Part II Special classes of polynomial sequences
• Part III Computational applications
• Bibliography
• Subject Index