General orthogonal polynomials /
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| Author / Creator: | Stahl, Herbert. |
|---|---|
| Imprint: | Cambridge [England] ; New York : Cambridge University Press, 1992. |
| Description: | 1 online resource (xii, 250 pages) |
| Language: | English |
| Series: | Encyclopedia of mathematics and its applications ; volume 43 Encyclopedia of mathematics and its applications ; v. 43. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11209505 |
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| 100 | 1 | |a Stahl, Herbert. | |
| 245 | 1 | 0 | |a General orthogonal polynomials / |c Herbert Stahl, Vilmos Totik. |
| 264 | 1 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 1992. | |
| 300 | |a 1 online resource (xii, 250 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v volume 43 | |
| 504 | |a Includes bibliographical references (pages 243-248) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications. The assumptions on the measure of orthogonality are general, the only restriction is that it has compact support on the complex plane. In the development of the theory the main emphasis is on asymptotic behaviour and the distribution of zeros. In the following chapters, the author explores the exact upper and lower bounds are given for the orthonormal polynomials and for the location of their zeros; regular n-th root asymptotic behaviour; and applications of the theory, including exact rates for convergence of rational interpolants, best rational approximants and non-diagonal Pade approximants to Markov functions (Cauchy transforms of measures). The results are based on potential theoretic methods, so both the methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials is given in an appendix. | ||
| 650 | 0 | |a Orthogonal polynomials. |0 http://id.loc.gov/authorities/subjects/sh85095794 | |
| 650 | 6 | |a Polynômes orthogonaux. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Orthogonal polynomials. |2 fast |0 (OCoLC)fst01048521 | |
| 650 | 7 | |a Polynômes orthogonaux. |2 ram | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Totik, V. | |
| 776 | 0 | 8 | |i Print version: |a Stahl, Herbert. |t General orthogonal polynomials |z 0521415349 |w (DLC) 91027733 |w (OCoLC)24219180 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v v. 43. |0 http://id.loc.gov/authorities/names/n42010632 | |
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