The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric ...
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The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. 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 Painlev??? transcendents, which have been termed the 'special functions of the twenty-first century'.
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Add this copy of Special Functions and Orthogonal Polynomials to cart. $73.03, new condition, Sold by Books International rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2016 by Cambridge University Press.
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New. Contains: Line drawings, Unspecified. Cambridge Studies in Advanced Mathematics . 7 b/w illus. 430 exercises. Intended for professional and scholarly audience.
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New. 488 p. Cambridge Studies in Advanced Mathematics . Worked examples or Exercises; 7 Line drawings, unspecified. Intended for professional and scholarly audience.
