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A First Course on Orthogonal Polynomials
◆Taylor & Francis セール開催中！：2025年4月27日(日)ご注文分まで
※上記表示の販売価格は割引適用後の価格です 出版済み 3-5週間でお届けいたします。 Classical Orthogonal Polynomials and Related Topics Author: Castillo, Kenier / Petronilho, Jose Carlos Publisher: Taylor & Francis ISBN: 9781032555973 Cover: HARDCOVER Date: 2024年11月 DESCRIPTION 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 TABLE OF CONTENTS 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
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