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Coimbra Lecture Notes on Orthogonal Polynomials (Advances in the Theory of Special Functions and Orthogonal P)

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£77.13 £14.57 £28.22 £41.87 £55.52 £69.17 £82.82 26 April 2026 14 May 2026 02 June 2026 21 June 2026 10 July 2026

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Description

Orthogonal Polynomials and Special Functions (OPSF) have a very rich history, going back to 19th century when mathematicians and physicists tried to solve the most important deferential equations of mathematical physics. Hermite-Padé approximation was also introduced at that time, to prove the transcendence of the remarkable constant e (the basis of the natural logarithm). Since then OPSF has developed to a standard subject within mathematics, which is driven by applications. The applications are numerous, both within mathematics (e.g. statistics, combinatory, harmonic analysis, number theory) and other sciences, such as physics, biology, computer science, chemistry. The main reason for the fact that OPSF has been so successful over the centuries is its usefulness in other branches of mathematics and physics, as well as other sciences. There are many different aspects of OPSF. Some of the most important developments for OPSF are related to the theory of rational approximation of analytic functions, in particular the extension to simultaneous rational approximation to a system of functions. Important tools for rational approximation are Riemann-Hilbert problems, the theory of orthogonal polynomials, logarithmic potential theory, and operator theory for difference operators. This new book presents the latest research in the field.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
12 March 2008
Listed Since
08 October 2007

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