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Orthogonal Polynomials
Abstract
The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szegő, originally published in 1939, is the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the
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Metadata
- Authors
- Szegő, G.
- Venue
- Colloquium Publications
- Publisher
- American Mathematical Society
- Published
- 1939-12-31
- ISSN
- 0065-9258 (ISSN-L)
- OpenAlex
- W4295022726
- Cited by
- 2,110
- References
- 0
- FWCI
- 10.29
- Type
- book
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Orthogonal Polynomials. https://app.cochat.ai/papers/10.1090/coll/023
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- Szegő, G. (1939). Orthogonal Polynomials. Colloquium Publications. https://doi.org/10.1090/coll/023
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
