eBook - ePub
A First Course on Orthogonal Polynomials
Classical Orthogonal Polynomials and Related Topics
- 226 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
A First Course on Orthogonal Polynomials
Classical Orthogonal Polynomials and Related Topics
About this book
A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time. A large part of its content is essentially inspired by the works of Pascal Maroni on the so-called algebraic theory of orthogonal polynomials, which distinguishes it from other contributions in the field. Features
- Suitable for a graduate course in orthogonal polynomials
- Can be used for a short course on the algebraic theory of orthogonal polynomials and its applicability to the study of the "old" classical orthogonal polynomials
- Includes numerous exercises for each topic
- Real and complex analysis are the only prerequisites
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access A First Course on Orthogonal Polynomials by Kenier Castillo,José Carlos Petronilho in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover Page
- Half-Title Page
- Title Page
- Copyright Page
- Dedication Page
- Contents
- Preface
- Authors
- Symbol Description
- 1 Foundations of the Algebraic Theory
- 2 Orthogonal Polynomial Sequences
- 3 Zeros and Gauss-Jacobi Mechanical Quadrature
- 4 The Spectral Theorem
- 5 The Markov Theorem
- 6 Orthogonal Polynomials and Dual Basis
- 7 Functional Differential Equation
- 8 Classical Orthogonal Polynomials: General Properties
- 9 Functional Equation on Lattices
- 10 Classical Orthogonal Polynomials: The Positive Definite Case
- 11 Hypergeometric Series
- A Locally Convex Spaces
- Bibliography
- Index