Assurance is encyclopedic within the first glossy therapy of orthogonal polynomials from the point of view of detailed services. It comprises classical subject matters comparable to Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials in addition to these (e.g. Askey-Wilson and Al-Salam--Chihara polynomial structures) stumbled on during the last 50 years and a number of orthogonal polynomials are mentioned for the 1st time in e-book shape. Many smooth purposes of the topic are handled, together with delivery- and dying- methods, integrable platforms, combinatorics, and actual types. A bankruptcy on open study difficulties and conjectures is designed to stimulate additional learn at the topic.
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