Polynomial Sequences : : Basic Methods, Special Classes, and Computational Applications / / Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli.
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 conside...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] 2024 |
| Year of Publication: | 2023 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
96 |
| Online Access: | |
| Physical Description: | 1 online resource (XVIII, 508 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- Part I: Basic methods
- Introduction
- 0 Infinite lower triangular matrices and formal power series
- 1 Polynomial sequences: algebraic structure, recurrence and determinant form, operational methods
- 2 Symmetric polynomial sequences
- 3 Generating functions
- 4 Differential operator and Sheffer classification
- 5 The monomiality principle
- Part II: Special classes of polynomial sequences
- Introduction
- 6 Sheffer polynomial sequences
- 7 Orthogonal polynomial sequences
- 8 Lidstone and central factorial-type polynomial sequences
- 9 Bernstein basis
- 10 Bivariate special polynomials: hints
- Part III: Computational applications
- Introduction
- 11 Approximation theory by operators
- 12 Interpolation
- 13 Boundary value problems and polynomial sequences
- 14 Appell and Lidstone-type quadrature formulas
- Postface
- Bibliography
- Index