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by Paul Nevai

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Author: Paul Nevai
ISBN: 0792305698
Language: English
Pages: 488 pages
Category: Mathematics
Publisher: Springer; 1990 edition (December 31, 1989)
Rating: 4.2
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FB2 size: 1126 kb | EPUB size: 1266 kb | DJVU size: 1112 kb
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This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, .

This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, . between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth.

Saff, Orthogonal polynomials from a complex perspective, in: P. Nevai (E., Orthogonal Polynomials-Theory and Practice, NATO ASI Series, Series C; Mathematical and Physical Sciences, vol. 294, Kluwer Academic Publishers, Dordrecht, 1990, pp. 363-393

Saff, Orthogonal polynomials from a complex perspective, in: P. 363-393. E. Schmidt, € U Uber die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugeh€ o orige Extremum, Math.

W. A. Al-Salam, Characterization theorems for orthogonal polynomials, in: Orthogonal polynomials: theory and practice, P., NATO ASI Series C, vol. 294, Kluwer, 1990, pp. 1–24. G. Andrews, R. Askey and R. Roy, Special Functions, Cambridge University Press, 1999. 21. R. Askey and J. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Memoirs Amer. Soc. 54 (1985), no. 319.

P. Nevai, Orthogonal Polynomials, Theory and Practice, NATO ASI Series C, Vol. 294, 1990. N. Obreschko, Verteilung und Berechnung der Nullstellen reeller Polynome, Berlin, 1963. Remmert, Funktionentheorie 2, Springer-Verlag, Berlin,.

There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painlevé transcendents, which have been termed the 'special functions of the twenty-first century'.

Series: Nato Science Series C: (Book 564). Paperback: 417 pages.

Orthogonal Polynomials - Theory and Practice : Proceedings of the NATO Advanced Study .

Orthogonal Polynomials - Theory and Practice : Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" Held in Columbus, Ohio, U. S. May 22 - June 3, 1989.

NATO Science Series C: (closed).

Are you sure you want to remove Orthogonal Polynomials:: Theory and Practice from your list? Orthogonal Polynomials:: Theory and Practice. Published December 31, 1989 by Springer. NATO Science Series C: (closed).

This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer­ ence Lectures on "Orthogonal Polynomials and Special Functions" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of orthogonal polynomials and their applicability. The recent popularity of orthogonal polynomials is only partially due to Louis de Branges's solution of the Bieberbach conjecture which uses an inequality of Askey and Gasper on Jacobi polynomials. The main reason lies in their wide applicability in areas such as Pade approximations, continued fractions, Tauberian theorems, numerical analysis, probability theory, mathematical statistics, scattering theory, nuclear physics, solid state physics, digital signal processing, electrical engineering, theoretical chemistry and so forth. This was emphasized and convincingly demonstrated during the presentations by both the principal speakers and the invited special lecturers. The main subjects of our Advanced Study Institute included complex orthogonal polynomials, signal processing, the recursion method, combinatorial interpretations of orthogonal polynomials, computational problems, potential theory, Pade approximations, Julia sets, special functions, quantum groups, weighted approximations, orthogonal polynomials associated with root systems, matrix orthogonal polynomials, operator theory and group representations.