| 000 | 02312nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9780511759420 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160233.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100430s1992||||enk o ||1 0|eng|d | ||
| 020 | _a9780511759420 (ebook) | ||
| 020 | _z9780521415347 (hardback) | ||
| 020 | _z9780521135047 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA404.5 _b.S73 1992 |
| 082 | 0 | 0 |
_a515/.55 _220 |
| 100 | 1 |
_aStahl, Herbert, _eauthor. |
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| 245 | 1 | 0 |
_aGeneral orthogonal polynomials / _cHerbert Stahl, Vilmos Totik. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1992. |
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| 300 |
_a1 online resource (xii, 250 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aEncyclopedia of mathematics and its applications ; _vvolume 43 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aIn 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 | _aOrthogonal polynomials. | |
| 700 | 1 |
_aTotik, V., _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521415347 |
| 830 | 0 |
_aEncyclopedia of mathematics and its applications ; _vv. 43. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511759420 |
| 999 |
_c517835 _d517833 |
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