General orthogonal polynomials /

General orthogonal polynomials /

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Bibliographic Details
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:	Orthogonal polynomials. Orthogonal polynomials. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11209505

Hidden Bibliographic Details
Other authors / contributors:	Totik, V.
ISBN:	9781107088306 1107088305 0521415349 9780521415347 9780511759420
Notes:	Includes bibliographical references (pages 243-248) and index. Print version record.
Summary:	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.
Other form:	Print version: Stahl, Herbert. General orthogonal polynomials 0521415349

Description
Physical Description:	1 online resource (xii, 250 pages)
Bibliography:	Includes bibliographical references (pages 243-248) and index.
ISBN:	9781107088306 1107088305 0521415349 9780521415347 9780511759420