Orthogonal polynomials
著者
書誌事項
Orthogonal polynomials
(Colloquium publications / American Mathematical Society, v. 23)
American Mathematical Society, 1939[i.e. 1975]
[4th ed.]
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注記
First ed., 1939
Includes bibliographies and index
内容説明・目次
内容説明
This first detailed systematic treatment of orthogonal polynomials continues as a bestseller in the Colloquium Series
目次
- *Preliminaries *Definition of orthogonal polynomials
- principal examples *General properties of orthogonal polynomials *Jacobi polynomials *Laguerre and Hermite polynomials *Zeros of orthogonal polynomials *Inequalities *Asymptotic properties of the classical polynomials *Expansion problems associated with the classical polynomials *Representation of positive functions *Polynomials orthogonal on the unit circle *Asymptotic properties of general orthogonal polynomials *Expansion problems associated with general orthogonal polynomials *Interpolation *Mechanical quadrature *Polynomials orthogonal on an arbitrary curve *Problems and exercises *Further problems and exercises *Appendix *List of references *Further references *Index
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