Polynomial Sequences: Basic Methods, Special Classes, and Computational Applications

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Francesco Aldo Costabile Maria Italia Gualtieri

Polynomial Sequences

Basic Methods, Special Classes, and Computational Applications

Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli

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English

De Gruyter
18 December 2023

Calculus & mathematical analysis; Differential calculus & equations

Series: De Gruyter Studies in 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.

By: Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 170mm, Width: 240mm,
Weight: 991g
ISBN: 9783110757231
ISBN 10: 3110757230
Series: De Gruyter Studies in Mathematics
Pages: 526
Publication Date: 18 December 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Francesco Aldo Costabile, Maria Italia Gualtieri and Anna Napoli, University of Calabria, Italy.